264172320 has 96 divisors (see below), whose sum is σ = 924618240. Its totient is φ = 70444800.

The previous prime is 264172303. The next prime is 264172331. The reversal of 264172320 is 23271462.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 26256 + ... + 34895.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^264172320 is an apocalyptic number.

264172320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264172320 is an abundant number, since it is smaller than the sum of its proper divisors (660445920).

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

264172320 is a wasteful number, since it uses less digits than its factorization.

264172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61175 (or 61161 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 264172320 is about 16253.3787256681. The cubic root of 264172320 is about 641.6464119841.

The spelling of 264172320 in words is "two hundred sixty-four million, one hundred seventy-two thousand, three hundred twenty".