57456516 has 72 divisors (see below), whose sum is σ = 150415104. Its totient is φ = 16951680.

The previous prime is 57456499. The next prime is 57456533. The reversal of 57456516 is 61565475.

It is an interprime number because it is at equal distance from previous prime (57456499) and next prime (57456533).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 527070 + ... + 527178.

Almost surely, 2^57456516 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 57456516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75207552).

57456516 is an abundant number, since it is smaller than the sum of its proper divisors (92958588).

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

57456516 is a wasteful number, since it uses less digits than its factorization.

57456516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 158 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 57456516 is about 7580.0076517112. The cubic root of 57456516 is about 385.8748106288.

The spelling of 57456516 in words is "fifty-seven million, four hundred fifty-six thousand, five hundred sixteen".