The non-perturbative gauge group of the type I string in 10 dimensions is Spin(32)/Z2. When compactifying type I on a k-torus, it is however not true that any flat Spin(32)/Z 2 bundle gives a consistent compactification. We comment on the constraints on the bundle. Spin(32)/Z2 bundles on a k-torus have been classified up to k = 3. By making use of T-duality, and deriving constraints from the requirement that certain tensor fluxes give rise to flat gerbes, we classify the Spin(32)/Z 2 bundles on a k-torus, that give rise to consistent string compactifications, for k <= 6.