56597680 has 40 divisors (see below), whose sum is σ = 131969232. Its totient is φ = 22573824.

The previous prime is 56597663. The next prime is 56597689. The reversal of 56597680 is 8679565.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56597680.

It is not an unprimeable number, because it can be changed into a prime (56597689) 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, 34642 + ... + 36238.

Almost surely, 2^56597680 is an apocalyptic number.

It is an amenable number.

56597680 is an abundant number, since it is smaller than the sum of its proper divisors (75371552).

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

56597680 is a wasteful number, since it uses less digits than its factorization.

56597680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The square root of 56597680 is about 7523.1429602261. The cubic root of 56597680 is about 383.9425188845.

The spelling of 56597680 in words is "fifty-six million, five hundred ninety-seven thousand, six hundred eighty".