264234656 has 72 divisors (see below), whose sum is σ = 619375680. Its totient is φ = 110581632.

The previous prime is 264234647. The next prime is 264234661. The reversal of 264234656 is 656432462.

264234656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65465 + ... + 69383.

It is an arithmetic number, because the mean of its divisors is an integer number (8602440).

Almost surely, 2^264234656 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 264234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309687840).

264234656 is an abundant number, since it is smaller than the sum of its proper divisors (355141024).

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

264234656 is a wasteful number, since it uses less digits than its factorization.

264234656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3971 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 264234656 is about 16255.2962446090. The cubic root of 264234656 is about 641.6968771819.

The spelling of 264234656 in words is "two hundred sixty-four million, two hundred thirty-four thousand, six hundred fifty-six".