264716564 has 48 divisors (see below), whose sum is σ = 550158336. Its totient is φ = 109058400.

The previous prime is 264716563. The next prime is 264716567. The reversal of 264716564 is 465617462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264716563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140549 + ... + 142419.

It is an arithmetic number, because the mean of its divisors is an integer number (11461632).

Almost surely, 2^264716564 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 264716564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275079168).

264716564 is an abundant number, since it is smaller than the sum of its proper divisors (285441772).

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

264716564 is a wasteful number, since it uses less digits than its factorization.

264716564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2074 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 264716564 is about 16270.1125994874. The cubic root of 264716564 is about 642.0867466237.

The spelling of 264716564 in words is "two hundred sixty-four million, seven hundred sixteen thousand, five hundred sixty-four".