268008 has 32 divisors (see below), whose sum is σ = 722400. Its totient is φ = 82368.

The previous prime is 268003. The next prime is 268013. The reversal of 268008 is 800862.

It is an interprime number because it is at equal distance from previous prime (268003) and next prime (268013).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (268003) 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, 118 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (22575).

2²⁶⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

268008 is an abundant number, since it is smaller than the sum of its proper divisors (454392).

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

268008 is a wasteful number, since it uses less digits than its factorization.

268008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 268008 is about 517.6948908382. The cubic root of 268008 is about 64.4736987892.

The spelling of 268008 in words is "two hundred sixty-eight thousand, eight".