There was an attempt to replace 24h system by 10h system around the same time metric system was introduced (French Republican Revolution), as a part of (much be

There was an attempt to replace 24h system by 10h system around the same time metric system was introduced (French Republican Revolution), as a part of (much better, IMO) French Republican Calendar. Unfortunately, it didn't gain enough momentum and was cancelled after not so long. Babylonians inherited base-60 from sumerians. AFAIK, there is no real consensus why exactly it was base-60 with sumerians. One hypothesis is exactly what hyperman1 is telling us. Also, don't quote me on that, but I seem to remember hearing that 360° might have been introduced not because of divisibility specifically, but because of the size of the sun. Not sure how plausible is that, but, notably, angular diameter of the sun is ≈0.5°. So I might believe it is related, but if I'm not mistaken 5/12/60-numeric systems seem to be much older than 360°.