268503264 has 36 divisors (see below), whose sum is σ = 763556976. Its totient is φ = 89500992.

The previous prime is 268503229. The next prime is 268503281. The reversal of 268503264 is 462305862.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 465864 + ... + 466439.

It is an arithmetic number, because the mean of its divisors is an integer number (21209916).

Almost surely, 2^268503264 is an apocalyptic number.

268503264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268503264 is an abundant number, since it is smaller than the sum of its proper divisors (495053712).

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

268503264 is a wasteful number, since it uses less digits than its factorization.

268503264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932319 (or 932308 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 268503264 is about 16386.0692052731. The cubic root of 268503264 is about 645.1338896380.

The spelling of 268503264 in words is "two hundred sixty-eight million, five hundred three thousand, two hundred sixty-four".