57657096 has 192 divisors, whose sum is σ = 195686400. Its totient is φ = 15536448.

The previous prime is 57657073. The next prime is 57657097. The reversal of 57657096 is 69075675.

It is a happy number.

57657096 is a `hidden beast` number, since 5 + 76 + 570 + 9 + 6 = 666.

57657096 is nontrivially palindromic in base 11.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57657097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258441 + ... + 258663.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 2^57657096 is an apocalyptic number.

57657096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57657096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97843200).

57657096 is an abundant number, since it is smaller than the sum of its proper divisors (138029304).

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

57657096 is a wasteful number, since it uses less digits than its factorization.

57657096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

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

The square root of 57657096 is about 7593.2269819886. The cubic root of 57657096 is about 386.3233172161.

The spelling of 57657096 in words is "fifty-seven million, six hundred fifty-seven thousand, ninety-six".