Question about text in SSP - Ashcroft & Mermin (p. 4)

"A metallic element contains $$0.6022 \times 10^{24}$$ atoms per mole (Avogadro's number) and $$\rho_m/A$$ moles per $$cm^3$$, where $$\rho_m$$ is the mass density (in grams per cubic centimeter} and $$A$$ is the atomic mass of the element. Since each atom contributes $$Z$$ electrons, the number of electrons per cubic centimeter. $$n = N / V$$, is "
Isn't $$\rho_m/A$$ simply the number of atoms per $$cm^3$$, since $$A$$ is mass per atom? Shouldn't you need to convert to moles (divide $$\rho_m/A$$ by $$N_A$$) to get moles per $$cm^3$$? Do we simply use the numerical value of $$A$$ an not convert to $$g$$?
The atomic mass is either (i) the mass per atom, as measured in amu, or (ii) the mass per mole, as measured in grams. As a result, since $$\rho_m$$ is specified to be in grams per cubic cm (rather than amu per cubic cm), $$\rho_m/A$$ is the number of moles per cubic cm.