56585568 has 48 divisors (see below), whose sum is σ = 159966576. Its totient is φ = 17410560.

The previous prime is 56585561. The next prime is 56585593. The reversal of 56585568 is 86558565.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56585561) 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, 21423 + ... + 23918.

It is an arithmetic number, because the mean of its divisors is an integer number (3332637).

Almost surely, 2^56585568 is an apocalyptic number.

It is an amenable number.

56585568 is an abundant number, since it is smaller than the sum of its proper divisors (103381008).

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

56585568 is a wasteful number, since it uses less digits than its factorization.

56585568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45367 (or 45359 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 48.

The square root of 56585568 is about 7522.3379344456. The cubic root of 56585568 is about 383.9151288127.

The spelling of 56585568 in words is "fifty-six million, five hundred eighty-five thousand, five hundred sixty-eight".