257696016 has 40 divisors (see below), whose sum is σ = 667665600. Its totient is φ = 85646976.

The previous prime is 257695973. The next prime is 257696039. The reversal of 257696016 is 610696752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9061 + ... + 24443.

It is an arithmetic number, because the mean of its divisors is an integer number (16691640).

Almost surely, 2^257696016 is an apocalyptic number.

It is an amenable number.

257696016 is an abundant number, since it is smaller than the sum of its proper divisors (409969584).

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

257696016 is a wasteful number, since it uses less digits than its factorization.

257696016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 257696016 is about 16052.9130066789. The cubic root of 257696016 is about 636.3595530325.

The spelling of 257696016 in words is "two hundred fifty-seven million, six hundred ninety-six thousand, sixteen".