56580390 has 64 divisors (see below), whose sum is σ = 151557120. Its totient is φ = 15020640.

The previous prime is 56580383. The next prime is 56580401. The reversal of 56580390 is 9308565.

56580390 is a `hidden beast` number, since 565 + 8 + 0 + 3 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98805 + ... + 99375.

It is an arithmetic number, because the mean of its divisors is an integer number (2368080).

Almost surely, 2^56580390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56580390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75778560).

56580390 is an abundant number, since it is smaller than the sum of its proper divisors (94976730).

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

56580390 is a wasteful number, since it uses less digits than its factorization.

56580390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56580390 is about 7521.9937516592. The cubic root of 56580390 is about 383.9034180930.

The spelling of 56580390 in words is "fifty-six million, five hundred eighty thousand, three hundred ninety".