If you wish to use a 3ph motor you have to have a 3ph electrical service or you can purchase and have an Electrician install a phase converter -NOT a DIY'er weekend project. In all my years as an Electrician I never ran across a 600v motor that was not 3ph. As OldandWorn stated the motors should spin at the same rpm for your application and that information is on the motors name/spec plate. As willie59 indicated, if the hp and rpm are the same it should work however there are numerous types of motors -I won't bore you with the details- but the frame type is very important as it will determine if one motor's frame will fit in the place of a motor it replaces. As FSERVICE indicates, motor rotation is also critically important, you do NOT want it spinning backwards as that can be destructive to that which it is connected. Only 3ph needs to have rotation checked and typically most motors have an arrow identifying rotation on the fan cover. There's one other thing that is important and that's shaft size and keyway, as with all the different types they all have different shafts. And few others, duty rating and cycles again all this info is on the name/spec plate. Here in the States we generate 60 cycle alternating current there are 50 cycle motors out there and they will have issues with reliability when connected to 60 cycle ac. In as much as possible the spec plates should match *** for tat.
Also, the NEC and National Electrical Manufacturers Assoc (NEMA) provide a maximum rating to 600v for low/medium voltage systems, is it possible the 600v you mention is that or does the plate actually say 600v ac?
Surely you have a electric motor shop nearby, it may be worth while having them take a gander at your motor. Just out of curiosity how did you come across a 600v motor, they are generally only used in extreme industrial applications. Mostly you'll find 120/240 1ph, 120/208 3ph and 277/480 3ph the latter being most prevalent in commercial and common industrial applications.
Good luck...