264516880 has 20 divisors (see below), whose sum is σ = 615001932. Its totient is φ = 105806720.

The previous prime is 264516877. The next prime is 264516881. The reversal of 264516880 is 88615462.

It can be written as a sum of positive squares in 2 ways, for example, as 85599504 + 178917376 = 9252^2 + 13376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (264516881) 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, 1653151 + ... + 1653310.

Almost surely, 2^264516880 is an apocalyptic number.

264516880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264516880 is an abundant number, since it is smaller than the sum of its proper divisors (350485052).

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

264516880 is a wasteful number, since it uses less digits than its factorization.

264516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306474 (or 3306468 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 264516880 is about 16263.9749139010. The cubic root of 264516880 is about 641.9252572931.

The spelling of 264516880 in words is "two hundred sixty-four million, five hundred sixteen thousand, eight hundred eighty".