56257080 has 256 divisors, whose sum is σ = 205286400. Its totient is φ = 12165120.

The previous prime is 56257027. The next prime is 56257087. The reversal of 56257080 is 8075265.

It is a happy number.

56257080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56257087) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 516066 + ... + 516174.

It is an arithmetic number, because the mean of its divisors is an integer number (801900).

Almost surely, 2^56257080 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 56257080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

56257080 is an abundant number, since it is smaller than the sum of its proper divisors (149029320).

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

56257080 is a wasteful number, since it uses less digits than its factorization.

56257080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 56257080 is about 7500.4719851487. The cubic root of 56257080 is about 383.1707909914.

The spelling of 56257080 in words is "fifty-six million, two hundred fifty-seven thousand, eighty".