264760672 has 48 divisors (see below), whose sum is σ = 571176144. Its totient is φ = 119808000.

The previous prime is 264760609. The next prime is 264760721. The reversal of 264760672 is 276067462.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83272 + ... + 86392.

It is an arithmetic number, because the mean of its divisors is an integer number (11899503).

Almost surely, 2^264760672 is an apocalyptic number.

264760672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285588072).

264760672 is an abundant number, since it is smaller than the sum of its proper divisors (306415472).

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

264760672 is a wasteful number, since it uses less digits than its factorization.

264760672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 264760672 is about 16271.4680345690. The cubic root of 264760672 is about 642.1224068899.

The spelling of 264760672 in words is "two hundred sixty-four million, seven hundred sixty thousand, six hundred seventy-two".