27688 is a product of a power of 2 and a 4k+1 prime and so it can be expressed as a sum of two squares in one way only viz. 38^2 + 162^2.

27688 is an example of a "Beastly Square", a number whose square contains the digit sequence “666”, here 27688^2 = 766625344.

27688 has a sum of proper divisors that is a palindrome (24242).

27688 is has sum of distinct prime factors that is a prime (3463).

27688 is a tau number, because it is divible by the number of its divisors (8).

27688 can be rendered as a digit equation as follows:

2 = 7 - 6 + 8 / 8