56593360 has 40 divisors (see below), whose sum is σ = 133748136. Its totient is φ = 22264320.

The previous prime is 56593349. The next prime is 56593367. The reversal of 56593360 is 6339565.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 53523856 = 1752^2 + 7316^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56593367) 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, 919 + ... + 10678.

Almost surely, 2^56593360 is an apocalyptic number.

It is an amenable number.

56593360 is an abundant number, since it is smaller than the sum of its proper divisors (77154776).

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

56593360 is a wasteful number, since it uses less digits than its factorization.

56593360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11671 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 37.

The square root of 56593360 is about 7522.8558407031. The cubic root of 56593360 is about 383.9327500866.

It can be divided in two parts, 56593 and 360, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 56593360 in words is "fifty-six million, five hundred ninety-three thousand, three hundred sixty".