57657648 has 20 divisors (see below), whose sum is σ = 148949048. Its totient is φ = 19219200.

The previous prime is 57657637. The next prime is 57657653. The reversal of 57657648 is 84675675.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1201201 = 57657648 / (5 + 7 + 6 + 5 + 7 + 6 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 57657597 and 57657606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600553 + ... + 600648.

Almost surely, 2^57657648 is an apocalyptic number.

It is an amenable number.

57657648 is an abundant number, since it is smaller than the sum of its proper divisors (91291400).

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

57657648 is a wasteful number, since it uses less digits than its factorization.

57657648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201212 (or 1201206 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 57657648 is about 7593.2633300841. The cubic root of 57657648 is about 386.3245500785.

The spelling of 57657648 in words is "fifty-seven million, six hundred fifty-seven thousand, six hundred forty-eight".