268591968 has 72 divisors (see below), whose sum is σ = 790171200. Its totient is φ = 86440704.

The previous prime is 268591951. The next prime is 268592003. The reversal of 268591968 is 869195862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×268591968² = 144283290548226048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7728 + ... + 24431.

It is an arithmetic number, because the mean of its divisors is an integer number (10974600).

Almost surely, 2^268591968 is an apocalyptic number.

It is an amenable number.

268591968 is an abundant number, since it is smaller than the sum of its proper divisors (521579232).

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

268591968 is a wasteful number, since it uses less digits than its factorization.

268591968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32204 (or 32193 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 268591968 is about 16388.7756711720. The cubic root of 268591968 is about 645.2049249705.

The spelling of 268591968 in words is "two hundred sixty-eight million, five hundred ninety-one thousand, nine hundred sixty-eight".