268234008 has 32 divisors (see below), whose sum is σ = 766383360. Its totient is φ = 76638240.

The previous prime is 268233983. The next prime is 268234009. The reversal of 268234008 is 800432862.

It is a super-3 number, since 3×268234008³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 268234008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268234009) 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, 798148 + ... + 798483.

It is an arithmetic number, because the mean of its divisors is an integer number (23949480).

Almost surely, 2^268234008 is an apocalyptic number.

268234008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268234008 is an abundant number, since it is smaller than the sum of its proper divisors (498149352).

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

268234008 is a wasteful number, since it uses less digits than its factorization.

268234008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596647 (or 1596643 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 268234008 is about 16377.8511410991. The cubic root of 268234008 is about 644.9181700166.

The spelling of 268234008 in words is "two hundred sixty-eight million, two hundred thirty-four thousand, eight".