16624 has 10 divisors (see below), whose sum is σ = 32240. Its totient is φ = 8304.

The previous prime is 16619. The next prime is 16631. The reversal of 16624 is 42661.

16624 is nontrivially palindromic in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

16624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2¹⁶⁶²⁴ is an apocalyptic number.

It is an amenable number.

16624 is a deficient number, since it is larger than the sum of its proper divisors (15616).

16624 is a wasteful number, since it uses less digits than its factorization.

16624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 16624 is about 128.9340916903. The cubic root of 16624 is about 25.5218318736.

It can be divided in two parts, 166 and 24, that added together give a triangular number (190 = T₁₉).

The spelling of 16624 in words is "sixteen thousand, six hundred twenty-four".