If you are talking about a 1600A/3p distribution panel only, then you could have only one(1) section or two. Distribution panel section and a load wireway
(overhead or underground).
If it is a sevice either indoor or outdoor, most likely you end up with three or four sections. (1) Overhead or underground pull section. approx. 400 -to-600 lbs
(1) Meter and Main section. approx. 600-to- 1000 lbs
(1) Distribution section. approx. 600-to-1000 lbs
and maybe (1) load wireway section. approx. 400-to 600 lbs.
You ask for approximate weight, but do not take figures above as accurate. as other post stated best is get the info from your supplier or mfg.