264684960 has 72 divisors (see below), whose sum is σ = 903242340. Its totient is φ = 70582272.

The previous prime is 264684919. The next prime is 264684961. The reversal of 264684960 is 69486462.

264684960 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 246741264 + 17943696 = 15708^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (264684961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90465 + ... + 93344.

Almost surely, 2^264684960 is an apocalyptic number.

264684960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264684960 is an abundant number, since it is smaller than the sum of its proper divisors (638557380).

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

264684960 is a wasteful number, since it uses less digits than its factorization.

264684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183830 (or 183819 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 264684960 is about 16269.1413418164. The cubic root of 264684960 is about 642.0611931073.

The spelling of 264684960 in words is "two hundred sixty-four million, six hundred eighty-four thousand, nine hundred sixty".