322320320 has 112 divisors (see below), whose sum is σ = 901110720. Its totient is φ = 107495424.

The previous prime is 322320301. The next prime is 322320329. The reversal of 322320320 is 23023223.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×322320320⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322320329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80936 + ... + 84824.

Almost surely, 2^322320320 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 322320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450555360).

322320320 is an abundant number, since it is smaller than the sum of its proper divisors (578790400).

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

322320320 is a wasteful number, since it uses less digits than its factorization.

322320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 322320320 is about 17953.2815941822. The cubic root of 322320320 is about 685.6396036391.

Adding to 322320320 its reverse (23023223), we get a palindrome (345343543).

It can be divided in two parts, 3223203 and 20, that added together give a palindrome (3223223).

The spelling of 322320320 in words is "three hundred twenty-two million, three hundred twenty thousand, three hundred twenty".