320122320 has 160 divisors (see below), whose sum is σ = 1147426560. Its totient is φ = 72314880.

The previous prime is 320122307. The next prime is 320122331. The reversal of 320122320 is 23221023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320122320.

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 31 ways as a sum of consecutive naturals, for example, 148450 + ... + 150590.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2^320122320 is an apocalyptic number.

320122320 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 320122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573713280).

320122320 is an abundant number, since it is smaller than the sum of its proper divisors (827304240).

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

320122320 is a wasteful number, since it uses less digits than its factorization.

320122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 320122320 is about 17891.9624412751. The cubic root of 320122320 is about 684.0775193425.

Adding to 320122320 its reverse (23221023), we get a palindrome (343343343).

The spelling of 320122320 in words is "three hundred twenty million, one hundred twenty-two thousand, three hundred twenty".