13057008 has 40 divisors (see below), whose sum is σ = 35200128. Its totient is φ = 4162752.

The previous prime is 13057007. The next prime is 13057013. The reversal of 13057008 is 80075031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4810 + ... + 7017.

Almost surely, 2^13057008 is an apocalyptic number.

It is an amenable number.

13057008 is an abundant number, since it is smaller than the sum of its proper divisors (22143120).

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

13057008 is a wasteful number, since it uses less digits than its factorization.

13057008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13057008 is about 3613.4482146559. The cubic root of 13057008 is about 235.4766724249.

The spelling of 13057008 in words is "thirteen million, fifty-seven thousand, eight".