57506976 has 96 divisors (see below), whose sum is σ = 169646400. Its totient is φ = 18950400.

The previous prime is 57506959. The next prime is 57506993. The reversal of 57506976 is 67960575.

It is a happy number.

57506976 is a `hidden beast` number, since 57 + 506 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (57506959) and next prime (57506993).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86935 + ... + 87593.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^57506976 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 57506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823200).

57506976 is an abundant number, since it is smaller than the sum of its proper divisors (112139424).

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

57506976 is a wasteful number, since it uses less digits than its factorization.

57506976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 57506976 is about 7583.3354139191. The cubic root of 57506976 is about 385.9877397736.

The spelling of 57506976 in words is "fifty-seven million, five hundred six thousand, nine hundred seventy-six".