I already said "I would try to make a long strip and then use a bend deformer to create the ring." at the end of my original post.
Also, if you want a game quality low poly model. You could use floating geometry for the hi poly concave numbers and normal map them along with the hi poly tumbler onto the low poly tumbler.
"If I have seen further it is by standing on the shoulders of giants." Sir Isaac Newton, 1675