Aqueous dispersions preparable using (A) an organic compound selected from the group consisting of organosilicon compounds, polyurethanes and their precursor compounds such as polyols and polyisocyanates, crosslinked (poly)epoxides and their precursor compounds such as noncrosslinked and partly crosslinked (poly)epoxides, (poly)amines, (poly)amidoamines, (poly)mercaptans, (poly)carboxylic acids, (poly)carboxylic anhydrides, acrylates and their precursor compounds, and polysulfide-forming polymers, (B) particles partially wettable with water, (C) water and further substances if desired.