As for the Achaemenids, we really don't know much about their standing forces at all. We do know that the king had a corps-sized formation at his immediate disposal (various guard units plus, presumably, reservists from the province of Persis), and that there were some garrison units scattered around the empire. What we don't know, is how many permanent garrisons like the one at Elephantine existed, how large they were, what they were composed of, etc.
There are records of reservist cavalry holding lands in Mesopotamia and Anatolia, but those are very vague and give no idea of the numbers. Trying to guess how many men the Achaemenids had is just that, guessing. Whatever the standing figure was, it certainly expanded by an order of magnitude in wartime.