56745360 has 280 divisors, whose sum is σ = 227693760. Its totient is φ = 12877056.

The previous prime is 56745349. The next prime is 56745379. The reversal of 56745360 is 6354765.

56745360 is a `hidden beast` number, since 56 + 74 + 536 + 0 = 666.

56745360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 408171 + ... + 408309.

It is an arithmetic number, because the mean of its divisors is an integer number (813192).

Almost surely, 2^56745360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113846880).

56745360 is an abundant number, since it is smaller than the sum of its proper divisors (170948400).

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

56745360 is a wasteful number, since it uses less digits than its factorization.

56745360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56745360 is about 7532.9516127478. The cubic root of 56745360 is about 384.2761685226.

The spelling of 56745360 in words is "fifty-six million, seven hundred forty-five thousand, three hundred sixty".