264816096 has 48 divisors (see below), whose sum is σ = 696503808. Its totient is φ = 88099200.

The previous prime is 264816077. The next prime is 264816113. The reversal of 264816096 is 690618462.

264816096 is digitally balanced in base 2, 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 (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52401 + ... + 57231.

It is an arithmetic number, because the mean of its divisors is an integer number (14510496).

Almost surely, 2^264816096 is an apocalyptic number.

It is an amenable number.

264816096 is an abundant number, since it is smaller than the sum of its proper divisors (431687712).

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

264816096 is a wasteful number, since it uses less digits than its factorization.

264816096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 264816096 is about 16273.1710493069. The cubic root of 264816096 is about 642.1672102575.

The spelling of 264816096 in words is "two hundred sixty-four million, eight hundred sixteen thousand, ninety-six".