264804568 has 96 divisors (see below), whose sum is σ = 607874400. Its totient is φ = 105799680.

The previous prime is 264804559. The next prime is 264804581. The reversal of 264804568 is 865408462.

264804568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2729896 + ... + 2729992.

It is an arithmetic number, because the mean of its divisors is an integer number (6332025).

Almost surely, 2^264804568 is an apocalyptic number.

264804568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264804568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303937200).

264804568 is an abundant number, since it is smaller than the sum of its proper divisors (343069832).

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

264804568 is a wasteful number, since it uses less digits than its factorization.

264804568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 264804568 is about 16272.8168428210. The cubic root of 264804568 is about 642.1578918272.

The spelling of 264804568 in words is "two hundred sixty-four million, eight hundred four thousand, five hundred sixty-eight".