Make and model PSU?
What you need to do is add up the wattage requirements of each component in your computer. Then add about 40% to allow for components using the high end of the stated power requirements and also allow some extra wattage for future growth and power demands.
You must also install a "quality" PSU. By quality, I mean a known brand product with good reviews by verified purchasers and professional reviewers. Many PSUs are tested and rated under ideal conditions. Some are poorly designed, constructed, and/or manufactured with minimal QA or inspection.
Overall, 600 Watts may be okay but I would recommend higher if your budget permits. So much depends on the PSU and a few extra dollars spent is well worth it.