264889664 has 28 divisors (see below), whose sum is σ = 566076084. Its totient is φ = 122256384.

The previous prime is 264889661. The next prime is 264889717. The reversal of 264889664 is 466988462.

264889664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57760000 + 207129664 = 7600^2 + 14392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264889661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158357 + ... + 160020.

It is an arithmetic number, because the mean of its divisors is an integer number (20217003).

Almost surely, 2^264889664 is an apocalyptic number.

It is an amenable number.

264889664 is an abundant number, since it is smaller than the sum of its proper divisors (301186420).

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

264889664 is a wasteful number, since it uses less digits than its factorization.

264889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318402 (or 318392 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 53.

The square root of 264889664 is about 16275.4312999687. The cubic root of 264889664 is about 642.2266711235.

The spelling of 264889664 in words is "two hundred sixty-four million, eight hundred eighty-nine thousand, six hundred sixty-four".