13122624 has 56 divisors (see below), whose sum is σ = 35588448. Its totient is φ = 4264960.

The previous prime is 13122607. The next prime is 13122631. The reversal of 13122624 is 42622131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13122624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7039 + ... + 8705.

It is an arithmetic number, because the mean of its divisors is an integer number (635508).

Almost surely, 2^13122624 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 13122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794224).

13122624 is an abundant number, since it is smaller than the sum of its proper divisors (22465824).

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

13122624 is a wasteful number, since it uses less digits than its factorization.

13122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1713 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 13122624 is about 3622.5162525515. The cubic root of 13122624 is about 235.8704642001.

Adding to 13122624 its reverse (42622131), we get a palindrome (55744755).

The spelling of 13122624 in words is "thirteen million, one hundred twenty-two thousand, six hundred twenty-four".