264636064 has 144 divisors (see below), whose sum is σ = 673958880. Its totient is φ = 101122560.

The previous prime is 264636007. The next prime is 264636083. The reversal of 264636064 is 460636462.

It is a hoax number, since the sum of its digits (37) 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 23 ways as a sum of consecutive naturals, for example, 1155502 + ... + 1155730.

It is an arithmetic number, because the mean of its divisors is an integer number (4680270).

Almost surely, 2^264636064 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 264636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336979440).

264636064 is an abundant number, since it is smaller than the sum of its proper divisors (409322816).

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

264636064 is a wasteful number, since it uses less digits than its factorization.

264636064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The square root of 264636064 is about 16267.6385502014. The cubic root of 264636064 is about 642.0216540802.

The spelling of 264636064 in words is "two hundred sixty-four million, six hundred thirty-six thousand, sixty-four".