264645920 has 96 divisors (see below), whose sum is σ = 779538816. Its totient is φ = 82483200.

The previous prime is 264645917. The next prime is 264645949. The reversal of 264645920 is 29546462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580 + ... + 23060.

It is an arithmetic number, because the mean of its divisors is an integer number (8120196).

Almost surely, 2^264645920 is an apocalyptic number.

264645920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389769408).

264645920 is an abundant number, since it is smaller than the sum of its proper divisors (514892896).

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

264645920 is a wasteful number, since it uses less digits than its factorization.

264645920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21514 (or 21506 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 264645920 is about 16267.9414801013. The cubic root of 264645920 is about 642.0296243807.

The spelling of 264645920 in words is "two hundred sixty-four million, six hundred forty-five thousand, nine hundred twenty".