264085152 has 48 divisors (see below), whose sum is σ = 695796192. Its totient is φ = 87701760.

The previous prime is 264085111. The next prime is 264085177. The reversal of 264085152 is 251580462.

It is a tau number, because it is divible by the number of its divisors (48).

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, 21627 + ... + 31557.

It is an arithmetic number, because the mean of its divisors is an integer number (14495754).

Almost surely, 2^264085152 is an apocalyptic number.

It is an amenable number.

264085152 is an abundant number, since it is smaller than the sum of its proper divisors (431711040).

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

264085152 is a wasteful number, since it uses less digits than its factorization.

264085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 264085152 is about 16250.6969696687. The cubic root of 264085152 is about 641.5758302929.

The spelling of 264085152 in words is "two hundred sixty-four million, eighty-five thousand, one hundred fifty-two".