57656000 has 56 divisors (see below), whose sum is σ = 142804896. Its totient is φ = 23059200.

The previous prime is 57655967. The next prime is 57656003. The reversal of 57656000 is 65675.

57656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57656003) 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 7 ways as a sum of consecutive naturals, for example, 4397 + ... + 11603.

Almost surely, 2^57656000 is an apocalyptic number.

57656000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71402448).

57656000 is an abundant number, since it is smaller than the sum of its proper divisors (85148896).

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

57656000 is an equidigital number, since it uses as much as digits as its factorization.

57656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 57656000 is about 7593.1548120659. The cubic root of 57656000 is about 386.3208693357.

The spelling of 57656000 in words is "fifty-seven million, six hundred fifty-six thousand".