264892968 has 48 divisors (see below), whose sum is σ = 718174080. Its totient is φ = 88204704.

The previous prime is 264892967. The next prime is 264893017. The reversal of 264892968 is 869298462.

It is a happy number.

264892968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264892961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118921 + ... + 121127.

It is an arithmetic number, because the mean of its divisors is an integer number (14961960).

Almost surely, 2^264892968 is an apocalyptic number.

It is an amenable number.

264892968 is an abundant number, since it is smaller than the sum of its proper divisors (453281112).

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

264892968 is a wasteful number, since it uses less digits than its factorization.

264892968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3879 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 264892968 is about 16275.5328023386. The cubic root of 264892968 is about 642.2293413021.

The spelling of 264892968 in words is "two hundred sixty-four million, eight hundred ninety-two thousand, nine hundred sixty-eight".