56590512 has 80 divisors (see below), whose sum is σ = 167905920. Its totient is φ = 16243200.

The previous prime is 56590507. The next prime is 56590517. The reversal of 56590512 is 21509565.

It is an interprime number because it is at equal distance from previous prime (56590507) and next prime (56590517).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56590517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7212 + ... + 12852.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^56590512 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 56590512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952960).

56590512 is an abundant number, since it is smaller than the sum of its proper divisors (111315408).

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

56590512 is a wasteful number, since it uses less digits than its factorization.

56590512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 56590512 is about 7522.6665485053. Note that the first 3 decimals coincide. The cubic root of 56590512 is about 383.9263096443.

The spelling of 56590512 in words is "fifty-six million, five hundred ninety thousand, five hundred twelve".