Abstract: A hat having a twist folding brim includes a drape depending from the outer periphery of the brim. The outer periphery of the brim also includes a stiff but flexible member therein, enabling the brim to be twisted and folded over for compact storage of the hat with its attached brim and drape. The drape provides good air circulation about the back of the neck of a wearer of the present hat, due to its distance from the wearer from depending from the outer edge of the relatively wide brim of the hat. The drape also serves to shield the wearer from the sun and other environmental effects. The drape may be permanently or removably attached to the brim of the hat, and may be made in virtually any practicable length, width, and/or material as desired. Adjustment for the length and/or width may also be provided with the hat. The drape may be formed of water resistant, waterproof, or water absorbent materials, with water absorbent drapes providing an evaporative cooling effect when moistened.