320109264 has 120 divisors (see below), whose sum is σ = 955593600. Its totient is φ = 99740160.

The previous prime is 320109259. The next prime is 320109281. The reversal of 320109264 is 462901023.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 215404 + ... + 216884.

It is an arithmetic number, because the mean of its divisors is an integer number (7963280).

Almost surely, 2^320109264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320109264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477796800).

320109264 is an abundant number, since it is smaller than the sum of its proper divisors (635484336).

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

320109264 is a wasteful number, since it uses less digits than its factorization.

320109264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 320109264 is about 17891.5975809876. The cubic root of 320109264 is about 684.0682193167.

The spelling of 320109264 in words is "three hundred twenty million, one hundred nine thousand, two hundred sixty-four".