57568000 has 144 divisors (see below), whose sum is σ = 164533824. Its totient is φ = 19660800.

The previous prime is 57567953. The next prime is 57568003. The reversal of 57568000 is 86575.

It is not an unprimeable number, because it can be changed into a prime (57568003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223872 + ... + 224128.

It is an arithmetic number, because the mean of its divisors is an integer number (1142596).

Almost surely, 2^57568000 is an apocalyptic number.

57568000 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 57568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82266912).

57568000 is an abundant number, since it is smaller than the sum of its proper divisors (106965824).

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

57568000 is an equidigital number, since it uses as much as digits as its factorization.

57568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 57568000 is about 7587.3579064125. The cubic root of 57568000 is about 386.1242228619.

The spelling of 57568000 in words is "fifty-seven million, five hundred sixty-eight thousand".