322320 has 80 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 79872.

The previous prime is 322319. The next prime is 322327. The reversal of 322320 is 23223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 322296 and 322305.

It is not an unprimeable number, because it can be changed into a prime (322327) 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, 4041 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2³²²³²⁰ is an apocalyptic number.

322320 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 322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

322320 is an abundant number, since it is smaller than the sum of its proper divisors (749040).

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

322320 is a wasteful number, since it uses less digits than its factorization.

322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 322320 is about 567.7323312971. The cubic root of 322320 is about 68.5639376738.

Adding to 322320 its reverse (23223), we get a palindrome (345543).

The spelling of 322320 in words is "three hundred twenty-two thousand, three hundred twenty", and thus it is an iban number.