320013320 has 64 divisors (see below), whose sum is σ = 798431040. Its totient is φ = 114451200.

The previous prime is 320013299. The next prime is 320013359. The reversal of 320013320 is 23310023.

320013320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

320013320 is a modest number, since divided by 13320 gives 320 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 320013295 and 320013304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20879 + ... + 32801.

It is an arithmetic number, because the mean of its divisors is an integer number (12475485).

Almost surely, 2^320013320 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 320013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399215520).

320013320 is an abundant number, since it is smaller than the sum of its proper divisors (478417720).

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

320013320 is a wasteful number, since it uses less digits than its factorization.

320013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12006 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 320013320 is about 17888.9161214423. The cubic root of 320013320 is about 683.9998689055. Note that the first 3 decimals are identical.

Adding to 320013320 its reverse (23310023), we get a palindrome (343323343).

The spelling of 320013320 in words is "three hundred twenty million, thirteen thousand, three hundred twenty".