56921760 has 144 divisors (see below), whose sum is σ = 222034176. Its totient is φ = 13008384.

The previous prime is 56921749. The next prime is 56921773. The reversal of 56921760 is 6712965.

56921760 is a `hidden beast` number, since 569 + 21 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×56921760² = 6480173522995200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7257 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (1541904).

Almost surely, 2^56921760 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 56921760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111017088).

56921760 is an abundant number, since it is smaller than the sum of its proper divisors (165112416).

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

56921760 is a wasteful number, since it uses less digits than its factorization.

56921760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56921760 is about 7544.6510853717. The cubic root of 56921760 is about 384.6739466931.

The spelling of 56921760 in words is "fifty-six million, nine hundred twenty-one thousand, seven hundred sixty".