320204320 has 72 divisors (see below), whose sum is σ = 769220172. Its totient is φ = 125959680.

The previous prime is 320204317. The next prime is 320204351. The reversal of 320204320 is 23402023.

It can be written as a sum of positive squares in 2 ways, for example, as 320123664 + 80656 = 17892^2 + 284^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 320204294 and 320204303.

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 11 ways as a sum of consecutive naturals, for example, 806362 + ... + 806758.

Almost surely, 2^320204320 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 320204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384610086).

320204320 is an abundant number, since it is smaller than the sum of its proper divisors (449015852).

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

320204320 is an equidigital number, since it uses as much as digits as its factorization.

320204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 320204320 is about 17894.2538262985. The cubic root of 320204320 is about 684.1359236505.

Adding to 320204320 its reverse (23402023), we get a palindrome (343606343).

The spelling of 320204320 in words is "three hundred twenty million, two hundred four thousand, three hundred twenty".