An apparatus for mixing at least two flowable components having a mixer housing with an outlet opening. At least one mixing element arranged in the mixer housing having at least two separate inlet passages through which the flowable components can be introduced separately from one another. Each inlet passage is capable of being in sealing cooperation with a respective outlet passage of a storage container or a chamber. At least one of the inlet passages has an end configured to cooperate with the outlet passage as a piercing element for opening a flow connection between the storage container or the chamber and the inlet passage. The piercing element includes at least two inflow areas for the flowable components, with the two inflow areas being inclined relative to one another. A dispensing apparatus having such a mixer is furthermore provided.