264655664 has 120 divisors (see below), whose sum is σ = 670894560. Its totient is φ = 100058112.

The previous prime is 264655663. The next prime is 264655667. The reversal of 264655664 is 466556462.

It is a happy number.

264655664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (264655663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233852 + ... + 234980.

It is an arithmetic number, because the mean of its divisors is an integer number (5590788).

Almost surely, 2^264655664 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 264655664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335447280).

264655664 is an abundant number, since it is smaller than the sum of its proper divisors (406238896).

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

264655664 is a wasteful number, since it uses less digits than its factorization.

264655664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1174 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

The square root of 264655664 is about 16268.2409620709. The cubic root of 264655664 is about 642.0375039151.

The spelling of 264655664 in words is "two hundred sixty-four million, six hundred fifty-five thousand, six hundred sixty-four".