264560032 has 48 divisors (see below), whose sum is σ = 573797952. Its totient is φ = 119070720.

The previous prime is 264559993. The next prime is 264560041. The reversal of 264560032 is 230065462.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32608 + ... + 39904.

It is an arithmetic number, because the mean of its divisors is an integer number (11954124).

Almost surely, 2^264560032 is an apocalyptic number.

264560032 is a gapful number since it is divisible by the number (22) 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 264560032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286898976).

264560032 is an abundant number, since it is smaller than the sum of its proper divisors (309237920).

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

264560032 is a wasteful number, since it uses less digits than its factorization.

264560032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 264560032 is about 16265.3014727671. The cubic root of 264560032 is about 641.9601622521.

The spelling of 264560032 in words is "two hundred sixty-four million, five hundred sixty thousand, thirty-two".