56842560 has 336 divisors, whose sum is σ = 219675456. Its totient is φ = 13934592.

The previous prime is 56842549. The next prime is 56842567. The reversal of 56842560 is 6524865.

56842560 is a `hidden beast` number, since 56 + 8 + 42 + 560 = 666.

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 (56842567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321899 + ... + 1321941.

It is an arithmetic number, because the mean of its divisors is an integer number (653796).

Almost surely, 2^56842560 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 56842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109837728).

56842560 is an abundant number, since it is smaller than the sum of its proper divisors (162832896).

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

56842560 is a wasteful number, since it uses less digits than its factorization.

56842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56842560 is about 7539.4005066716. The cubic root of 56842560 is about 384.4954542176.

The spelling of 56842560 in words is "fifty-six million, eight hundred forty-two thousand, five hundred sixty".