322920 has 128 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 76032.

The previous prime is 322919. The next prime is 322921. The reversal of 322920 is 29223.

322920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (322919) and next prime (322921).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 322893 and 322902.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 322920.

It is not an unprimeable number, because it can be changed into a prime (322921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14029 + ... + 14051.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2³²²⁹²⁰ is an apocalyptic number.

322920 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 322920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

322920 is an abundant number, since it is smaller than the sum of its proper divisors (886680).

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

322920 is a wasteful number, since it uses less digits than its factorization.

322920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 322920 is about 568.2605036425. The cubic root of 322920 is about 68.6064553193.

It can be divided in two parts, 3229 and 20, that added together give a square (3249 = 57²).

The spelling of 322920 in words is "three hundred twenty-two thousand, nine hundred twenty".