27624 is a member of OEIS A007588: stella octangula numbers: a(n) = n*(2*n^2 - 1), here n = 24. See blog post Stella Octangula.

27624 is an interprime because it is midway between the primes 27617 and 27631.

27624 is an Ulam number with 27624 = 102 + 27522.

27624 is one step away from its home prime 22231151.

27624 has an aliquot sequence that does not terminate after 101 steps.

27624 is a vortical and with 27617 forms the vortex (27617, 27624) under the Odds and Evens algorithm.

27624 is an abundant, pseudoperfect and Zumkeller number.

27624 can be rendered as a digit equation as follows:

2 * 7 - 6 = 2 * 4