56673360 has 60 divisors (see below), whose sum is σ = 190330452. Its totient is φ = 15112704.

The previous prime is 56673349. The next prime is 56673367. The reversal of 56673360 is 6337665.

56673360 is a `hidden beast` number, since 566 + 7 + 33 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29550096 + 27123264 = 5436^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56673367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38637 + ... + 40076.

Almost surely, 2^56673360 is an apocalyptic number.

It is an amenable number.

56673360 is an abundant number, since it is smaller than the sum of its proper divisors (133657092).

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

56673360 is a wasteful number, since it uses less digits than its factorization.

56673360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78732 (or 78723 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 56673360 is about 7528.1710926360. The cubic root of 56673360 is about 384.1135731767.

The spelling of 56673360 in words is "fifty-six million, six hundred seventy-three thousand, three hundred sixty".