268056657 has 48 divisors (see below), whose sum is σ = 443289600. Its totient is φ = 154586880.

The previous prime is 268056653. The next prime is 268056661. The reversal of 268056657 is 756650862.

268056657 is a `hidden beast` number, since 2 + 6 + 80 + 566 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (268056653) and next prime (268056661).

It is not a de Polignac number, because 268056657 - 2² = 268056653 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (268056653) 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, 208944 + ... + 210222.

It is an arithmetic number, because the mean of its divisors is an integer number (9235200).

Almost surely, 2^268056657 is an apocalyptic number.

It is an amenable number.

268056657 is a deficient number, since it is larger than the sum of its proper divisors (175232943).

268056657 is a wasteful number, since it uses less digits than its factorization.

268056657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 268056657 is about 16372.4358908502. The cubic root of 268056657 is about 644.7760029832.

The spelling of 268056657 in words is "two hundred sixty-eight million, fifty-six thousand, six hundred fifty-seven".