The invention relates to a heat-sealable, shrinkable multilayer polypropylene film which includes at least one base layer containing polypropylene or a polypropylene mixture and at least one outer layer which contains a mixture or a blend of two components I and II. The mixture contains copolymers and terpolymers of alpha -olefins having 2 to 10 carbon atoms and HDPE. The film has a longitudinal shrinkage of >8% at 120 DEG C. and </=10% at 90 DEG C. The film has a transverse shrinkage of >10% at 120 DEG C. and </=10% at 90 DEG C. The film has a minimum heat-sealing temperature of </=124 DEG C. The film is matte.