12624 has 20 divisors (see below), whose sum is σ = 32736. Its totient is φ = 4192.

The previous prime is 12619. The next prime is 12637. The reversal of 12624 is 42621.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 84 + ... + 179.

2¹²⁶²⁴ is an apocalyptic number.

It is an amenable number.

12624 is an abundant number, since it is smaller than the sum of its proper divisors (20112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368).

12624 is a wasteful number, since it uses less digits than its factorization.

12624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 12624 is about 112.3565752415. The cubic root of 12624 is about 23.2844327361.

Adding to 12624 its product of digits (96), we get a triangular number (12720 = T₁₅₉).

It can be divided in two parts, 12 and 624, that added together give a palindrome (636).

The spelling of 12624 in words is "twelve thousand, six hundred twenty-four".