264820960 has 24 divisors (see below), whose sum is σ = 625639896. Its totient is φ = 105928320.

The previous prime is 264820937. The next prime is 264820967. The reversal of 264820960 is 69028462.

264820960 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 (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264820967) 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, 827406 + ... + 827725.

It is an arithmetic number, because the mean of its divisors is an integer number (26068329).

Almost surely, 2^264820960 is an apocalyptic number.

264820960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264820960 is an abundant number, since it is smaller than the sum of its proper divisors (360818936).

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

264820960 is a wasteful number, since it uses less digits than its factorization.

264820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655146 (or 1655138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 264820960 is about 16273.3204970590. The cubic root of 264820960 is about 642.1711418944.

The spelling of 264820960 in words is "two hundred sixty-four million, eight hundred twenty thousand, nine hundred sixty".