It is generally believed that sunspots are the emergent part of magnetic flux tubes in the solar interior. These tubes are created at the base of the convection zone and rise to the surface due to their magnetic buoyancy. The motion of plasma in the convection zone being highly turbulent, the surface manifestation of sunspots may retain the signature of this turbulence, including its intermittency. From direct observations of sunspots, and indirect observations of the concentration of cosmogenic isotopes $^{14}$C in tree rings or $^{10}$Be in polar ice, a turbulent spectrum in frequency can be plotted, showing an inertial range in $f^{-2/3}$ extending over five decades. From direct observations we can also calculate scaling exponents. These testify to a strong turbulent intermittency, comparable with that observed in the solar wind.