A plurality of presettable digit wheels are rotatably mounted on a first axis. Each of said wheels is rotatable to a plurality of preset positions corresponding to respective values of an associated digit position of a preselected count. Retaining means retain said presettable wheels in said preset positions during a counting operation of the counter. A signal generator comprises axially movable cam follower means arranged to generate a signal when said counter has counted to said preselected count. A plurality of presetting members are associated with respective ones of said presettable wheels and pivoted to a stationary first pivot. At portions remote from said first pivot, said presetting members are engaged by a guide member, which is pivotally movable between first and second positions to move said presetting members about said pivot out of and into engagement with said presettable wheels. First spring means are adapted to urge said guide member to said first position. The presetting members are displaceable relative to said pivot and said guide member to rotate said presettable wheels when said presetting members are in engagement with said presettable wheels.