57062880 has 480 divisors, whose sum is σ = 250278336. Its totient is φ = 11943936.

The previous prime is 57062851. The next prime is 57062881. The reversal of 57062880 is 8826075.

57062880 is a `hidden beast` number, since 570 + 6 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57062881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542222 + ... + 1542258.

Almost surely, 2^57062880 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 57062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

57062880 is an abundant number, since it is smaller than the sum of its proper divisors (193215456).

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

57062880 is a wasteful number, since it uses less digits than its factorization.

57062880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57062880 is about 7553.9976171561. The cubic root of 57062880 is about 384.9915779346.

Adding to 57062880 its sum of digits (36), we get a square (57062916 = 7554²).

The spelling of 57062880 in words is "fifty-seven million, sixty-two thousand, eight hundred eighty".