257631642 has 24 divisors (see below), whose sum is σ = 567665280. Its totient is φ = 84421320.

The previous prime is 257631623. The next prime is 257631643. The reversal of 257631642 is 246136752.

257631642 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 3 + 1 + 642 = 666.

257631642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 257631597 and 257631606.

It is not an unprimeable number, because it can be changed into a prime (257631643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120234 + ... + 122357.

It is an arithmetic number, because the mean of its divisors is an integer number (23652720).

Almost surely, 2^257631642 is an apocalyptic number.

257631642 is an abundant number, since it is smaller than the sum of its proper divisors (310033638).

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

257631642 is a wasteful number, since it uses less digits than its factorization.

257631642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242658 (or 242655 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 257631642 is about 16050.9078247930. The cubic root of 257631642 is about 636.3065598172.

The spelling of 257631642 in words is "two hundred fifty-seven million, six hundred thirty-one thousand, six hundred forty-two".