268008960 has 80 divisors (see below), whose sum is σ = 856815696. Its totient is φ = 71467008.

The previous prime is 268008959. The next prime is 268008967. The reversal of 268008960 is 69800862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268008967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9769 + ... + 25128.

Almost surely, 2^268008960 is an apocalyptic number.

268008960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268008960 is an abundant number, since it is smaller than the sum of its proper divisors (588806736).

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

268008960 is an equidigital number, since it uses as much as digits as its factorization.

268008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34923 (or 34907 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 268008960 is about 16370.9792010130. The cubic root of 268008960 is about 644.7377577037.

The spelling of 268008960 in words is "two hundred sixty-eight million, eight thousand, nine hundred sixty".