12621624 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 3928320.

The previous prime is 12621611. The next prime is 12621647. The reversal of 12621624 is 42612621.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 12621594 and 12621603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40429 + ... + 40739.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 2^12621624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12621624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

12621624 is an abundant number, since it is smaller than the sum of its proper divisors (21074376).

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

12621624 is a wasteful number, since it uses less digits than its factorization.

12621624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12621624 is about 3552.6925000625. The cubic root of 12621624 is about 232.8297183398.

The spelling of 12621624 in words is "twelve million, six hundred twenty-one thousand, six hundred twenty-four".