57566880 has 144 divisors (see below), whose sum is σ = 224550144. Its totient is φ = 13155840.

The previous prime is 57566867. The next prime is 57566893. The reversal of 57566880 is 8866575.

57566880 is a `hidden beast` number, since 5 + 7 + 566 + 8 + 80 = 666.

57566880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57566867) and next prime (57566893).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7225 + ... + 12935.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^57566880 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 57566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

57566880 is an abundant number, since it is smaller than the sum of its proper divisors (166983264).

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

57566880 is a wasteful number, since it uses less digits than its factorization.

57566880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 57566880 is about 7587.2840990700. The cubic root of 57566880 is about 386.1217187976.

The spelling of 57566880 in words is "fifty-seven million, five hundred sixty-six thousand, eight hundred eighty".