264032704 has 112 divisors (see below), whose sum is σ = 604235520. Its totient is φ = 113541120.

The previous prime is 264032701. The next prime is 264032723. The reversal of 264032704 is 407230462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264032701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747792 + ... + 748144.

It is an arithmetic number, because the mean of its divisors is an integer number (5394960).

Almost surely, 2^264032704 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 264032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302117760).

264032704 is an abundant number, since it is smaller than the sum of its proper divisors (340202816).

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

264032704 is a wasteful number, since it uses less digits than its factorization.

264032704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 264032704 is about 16249.0831741363. The cubic root of 264032704 is about 641.5333546031.

It can be divided in two parts, 2640 and 32704, that added together give a square (35344 = 188²).

The spelling of 264032704 in words is "two hundred sixty-four million, thirty-two thousand, seven hundred four".