320317920 has 288 divisors, whose sum is σ = 1198701504. Its totient is φ = 77414400.

The previous prime is 320317901. The next prime is 320317931. The reversal of 320317920 is 29713023.

320317920 is a `hidden beast` number, since 320 + 317 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329000 + ... + 1329240.

It is an arithmetic number, because the mean of its divisors is an integer number (4162158).

Almost surely, 2^320317920 is an apocalyptic number.

320317920 is a gapful number since it is divisible by the number (30) 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 320317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599350752).

320317920 is an abundant number, since it is smaller than the sum of its proper divisors (878383584).

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

320317920 is a wasteful number, since it uses less digits than its factorization.

320317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 320317920 is about 17897.4277481430. The cubic root of 320317920 is about 684.2168185116.

The spelling of 320317920 in words is "three hundred twenty million, three hundred seventeen thousand, nine hundred twenty".