57724641 has 48 divisors (see below), whose sum is σ = 98716800. Its totient is φ = 32161536.

The previous prime is 57724627. The next prime is 57724643. The reversal of 57724641 is 14642775.

57724641 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 4 + 641 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-57724641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57724596 and 57724605.

It is not an unprimeable number, because it can be changed into a prime (57724643) 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, 50565 + ... + 51693.

It is an arithmetic number, because the mean of its divisors is an integer number (2056600).

Almost surely, 2^57724641 is an apocalyptic number.

It is an amenable number.

57724641 is a deficient number, since it is larger than the sum of its proper divisors (40992159).

57724641 is a wasteful number, since it uses less digits than its factorization.

57724641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1187 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 57724641 is about 7597.6733938753. The cubic root of 57724641 is about 386.4741169566.

The spelling of 57724641 in words is "fifty-seven million, seven hundred twenty-four thousand, six hundred forty-one".