264864096 has 72 divisors (see below), whose sum is σ = 860814864. Its totient is φ = 75674880.

The previous prime is 264864091. The next prime is 264864101. The reversal of 264864096 is 690468462.

It is an interprime number because it is at equal distance from previous prime (264864091) and next prime (264864101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264864091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63675 + ... + 67706.

It is an arithmetic number, because the mean of its divisors is an integer number (11955762).

Almost surely, 2^264864096 is an apocalyptic number.

It is an amenable number.

264864096 is an abundant number, since it is smaller than the sum of its proper divisors (595950768).

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

264864096 is a wasteful number, since it uses less digits than its factorization.

264864096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131404 (or 131393 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 264864096 is about 16274.6458025974. The cubic root of 264864096 is about 642.2060071992.

The spelling of 264864096 in words is "two hundred sixty-four million, eight hundred sixty-four thousand, ninety-six".