264053088 has 96 divisors (see below), whose sum is σ = 829432800. Its totient is φ = 81243648.

The previous prime is 264053077. The next prime is 264053093. The reversal of 264053088 is 880350462.

264053088 is a `hidden beast` number, since 2 + 6 + 40 + 530 + 88 = 666.

264053088 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523 + ... + 22986.

It is an arithmetic number, because the mean of its divisors is an integer number (8639925).

Almost surely, 2^264053088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264053088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414716400).

264053088 is an abundant number, since it is smaller than the sum of its proper divisors (565379712).

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

264053088 is a wasteful number, since it uses less digits than its factorization.

264053088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23541 (or 23527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 264053088 is about 16249.7103974194. The cubic root of 264053088 is about 641.5498635168.

The spelling of 264053088 in words is "two hundred sixty-four million, fifty-three thousand, eighty-eight".