He can be seen as the antipode of the Christmas figure Dyado Koleda (Дядо Коледа; corresponding to Father Christmas). Usually he is known to children as the family partner of Baba Yaga although this is based on folklore analogy. Possibly Torbalan's figure is derived from the Russian folklore character Koschei the Immortal.
Torbalan is the subject of the parody kyuchek song Torbalan kyuchek by the singer Svetlozar Hristov from the group Five Stars.