56585340 has 72 divisors (see below), whose sum is σ = 196166880. Its totient is φ = 12933504.

The previous prime is 56585339. The next prime is 56585341. The reversal of 56585340 is 4358565.

56585340 is a `hidden beast` number, since 565 + 8 + 53 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (56585339) and next prime (56585341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56585295 and 56585304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56585341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21195 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (2724540).

Almost surely, 2^56585340 is an apocalyptic number.

It is an amenable number.

56585340 is an abundant number, since it is smaller than the sum of its proper divisors (139581540).

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

56585340 is a wasteful number, since it uses less digits than its factorization.

56585340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44931 (or 44926 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 56585340 is about 7522.3227795675. The cubic root of 56585340 is about 383.9146131761.

It can be divided in two parts, 565 and 85340, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 56585340 in words is "fifty-six million, five hundred eighty-five thousand, three hundred forty".