264133672 has 32 divisors (see below), whose sum is σ = 540989280. Its totient is φ = 119901760.

The previous prime is 264133669. The next prime is 264133691. The reversal of 264133672 is 276331462.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87663 + ... + 90625.

It is an arithmetic number, because the mean of its divisors is an integer number (16905915).

Almost surely, 2^264133672 is an apocalyptic number.

264133672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

264133672 is an abundant number, since it is smaller than the sum of its proper divisors (276855608).

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

264133672 is a wasteful number, since it uses less digits than its factorization.

264133672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3989 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 264133672 is about 16252.1897601523. The cubic root of 264133672 is about 641.6151198337.

The spelling of 264133672 in words is "two hundred sixty-four million, one hundred thirty-three thousand, six hundred seventy-two".