Special property of multiples of 6

If $n$ is a multiple of $6$. Then the set of its divisors contains $\frac{n}{2}$, $\frac{n}{3}$, and $\frac{n}{6}$ which sum to $n$.

Here is a proof that if $n$ is a multiple of $6$, then there exists a subset of factors to $n$ that adds up to $n$. If $n = 6k$, then the subset $\{k,2k,3k\} = \{\frac n6, \frac n3, \frac n2\}$ adds up to $n$.