268585956 has 36 divisors (see below), whose sum is σ = 704073552. Its totient is φ = 89528328.

The previous prime is 268585951. The next prime is 268585979. The reversal of 268585956 is 659585862.

268585956 is a `hidden beast` number, since 2 + 6 + 8 + 585 + 9 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (268585951) 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, 137190 + ... + 139133.

Almost surely, 2^268585956 is an apocalyptic number.

It is an amenable number.

268585956 is an abundant number, since it is smaller than the sum of its proper divisors (435487596).

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

268585956 is a wasteful number, since it uses less digits than its factorization.

268585956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276342 (or 276328 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The square root of 268585956 is about 16388.5922519294. The cubic root of 268585956 is about 645.2001109758.

The spelling of 268585956 in words is "two hundred sixty-eight million, five hundred eighty-five thousand, nine hundred fifty-six".