I don't think so.
I'm in the UK so yes m2. My house is 155m2, so 1668 ft sq, so just a tiny bit bigger than the OP's 1600.
My house could not be described as small by UK standards.
It's a detached dormer bungalow with large rooms - large hallway, two very large reception rooms, decent sized kitchen, one very large bedroom downstairs, another decent sized double, and a large bathroom with oversized bath plus walk in shower.
Upstairs two good sized double bedrooms, a box room, and a decent sized bathroom.
We sacrificed on a couple of other factors in order to get the space as it was very much one of the larger properties available (we viewed loads).
I'd say 1600 sq ft is above average for a UK house. Although as others have said, if it has lots of en-suites etc shoehorned in it could feel small.
A house of 1600 square metres would be absolutely enormous.