Google omega serial number chart. Hard to read the movement serial, but looks like late teens.
It’s 5271356. 1916 seems a little early since this is a US Signal Corps watch. One site says 1916, but a more specific chart that was on another thread on this forum looks like late 1917, which sounds about right. Sure wish Omega had a searchable database.
6 million case number puts it at 1918 to 1925, so probably somewhere near the middle.
The movement may have been produced earlier and then assembled to the case at a later date.