264115872 has 72 divisors (see below), whose sum is σ = 752824800. Its totient is φ = 87834240.

The previous prime is 264115853. The next prime is 264115913. The reversal of 264115872 is 278511462.

264115872 is a `hidden beast` number, since 2 + 64 + 11 + 587 + 2 = 666.

264115872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171747 + ... + 173277.

It is an arithmetic number, because the mean of its divisors is an integer number (10455900).

Almost surely, 2^264115872 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 264115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376412400).

264115872 is an abundant number, since it is smaller than the sum of its proper divisors (488708928).

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

264115872 is a wasteful number, since it uses less digits than its factorization.

264115872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2135 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 264115872 is about 16251.6421324123. The cubic root of 264115872 is about 641.6007066698.

The spelling of 264115872 in words is "two hundred sixty-four million, one hundred fifteen thousand, eight hundred seventy-two".