320220320 has 96 divisors (see below), whose sum is σ = 894499200. Its totient is φ = 105993216.

The previous prime is 320220301. The next prime is 320220343. The reversal of 320220320 is 23022023.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 320220295 and 320220304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27551 + ... + 37409.

It is an arithmetic number, because the mean of its divisors is an integer number (9317700).

Almost surely, 2^320220320 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 320220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447249600).

320220320 is an abundant number, since it is smaller than the sum of its proper divisors (574278880).

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

320220320 is a wasteful number, since it uses less digits than its factorization.

320220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 320220320 is about 17894.7008916048. The cubic root of 320220320 is about 684.1473184504.

Adding to 320220320 its reverse (23022023), we get a palindrome (343242343).

The spelling of 320220320 in words is "three hundred twenty million, two hundred twenty thousand, three hundred twenty".