Heat shrinkable film and multilayered film

A heat shrinkable film or multilayered film comprising at least one layer comprising an ethylene-vinyl alcohol copolymer (EVOH) (A)) having an average ethylene content of 20 to 60 mole % and an areal shrinkage when immersed in hot water at 90.degree. C. for 1 minute of at least 10% and having characteristics satisfying the following equation (i):

• 1.ltoreq..vertline.{T(1)-T(2)}-{t(1)-t(2)}.vertline..ltoreq.20 (i)
• wherein 1.ltoreq..vertline.t(1)-T(1).vertline..ltoreq.20 in the case of T(1)=T(2) and t(1)=t(2);
• and
• wherein T(1) and T(2) represent peak temperature (.degree.C.) on the highest temperature side and lowest temperature side respectively in differential scanning calorimetry (DSC) measurement of said EVOH (A), and t(1) and t(2) represent peak temperatures on the highest temperature side and lowest temperature side respectively originating from T(1) and T(2), respectively, in DSC measurement of said EVOH (A) after having been treated with an alkaline solvent.