57061080 has 96 divisors (see below), whose sum is σ = 191468160. Its totient is φ = 14722560.

The previous prime is 57061079. The next prime is 57061093. The reversal of 57061080 is 8016075.

57061080 is a `hidden beast` number, since 570 + 6 + 10 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8604 + ... + 13716.

It is an arithmetic number, because the mean of its divisors is an integer number (1994460).

Almost surely, 2^57061080 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 57061080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95734080).

57061080 is an abundant number, since it is smaller than the sum of its proper divisors (134407080).

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

57061080 is a wasteful number, since it uses less digits than its factorization.

57061080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57061080 is about 7553.8784740026. The cubic root of 57061080 is about 384.9875298148.

It can be divided in two parts, 5706 and 1080, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 57061080 in words is "fifty-seven million, sixty-one thousand, eighty".