264788096 has 32 divisors (see below), whose sum is σ = 545705100. Its totient is φ = 127826944.

The previous prime is 264788089. The next prime is 264788119. The reversal of 264788096 is 690887462.

It can be written as a sum of positive squares in 2 ways, for example, as 264517696 + 270400 = 16264^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×264788096² = 140225471566610432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31955 + ... + 39378.

Almost surely, 2^264788096 is an apocalyptic number.

It is an amenable number.

264788096 is an abundant number, since it is smaller than the sum of its proper divisors (280917004).

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

264788096 is an equidigital number, since it uses as much as digits as its factorization.

264788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71376 (or 71364 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 264788096 is about 16272.3107148309. The cubic root of 264788096 is about 642.1445765432.

The spelling of 264788096 in words is "two hundred sixty-four million, seven hundred eighty-eight thousand, ninety-six".