268764804 has 324 divisors, whose sum is σ = 942374160. Its totient is φ = 66134880.

The previous prime is 268764803. The next prime is 268764809. The reversal of 268764804 is 408467862.

It is a tau number, because it is divible by the number of its divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 268764804.

It is not an unprimeable number, because it can be changed into a prime (268764803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14145507 + ... + 14145525.

Almost surely, 2^268764804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268764804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471187080).

268764804 is an abundant number, since it is smaller than the sum of its proper divisors (673609356).

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

268764804 is a wasteful number, since it uses less digits than its factorization.

268764804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 268764804 is about 16394.0478223043. The cubic root of 268764804 is about 645.3432894052.

The spelling of 268764804 in words is "two hundred sixty-eight million, seven hundred sixty-four thousand, eight hundred four".