57214080 has 512 divisors, whose sum is σ = 258508800. Its totient is φ = 11612160.

The previous prime is 57214049. The next prime is 57214081. The reversal of 57214080 is 8041275.

57214080 is a `hidden beast` number, since 572 + 14 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57214081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330539 + ... + 1330581.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^57214080 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 57214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254400).

57214080 is an abundant number, since it is smaller than the sum of its proper divisors (201294720).

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

57214080 is a wasteful number, since it uses less digits than its factorization.

57214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57214080 is about 7563.9989423585. The cubic root of 57214080 is about 385.3313165313.

It can be divided in two parts, 5721 and 4080, that added together give a square (9801 = 99²).

The spelling of 57214080 in words is "fifty-seven million, two hundred fourteen thousand, eighty".