323820 has 72 divisors (see below), whose sum is σ = 1126944. Its totient is φ = 73728.

The previous prime is 323819. The next prime is 323837. The reversal of 323820 is 28323.

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 = 323793 and 323802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (15652).

2³²³⁸²⁰ is an apocalyptic number.

323820 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 323820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563472).

323820 is an abundant number, since it is smaller than the sum of its proper divisors (803124).

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

323820 is a wasteful number, since it uses less digits than its factorization.

323820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 323820 is about 569.0518429809. The cubic root of 323820 is about 68.6701331500.

The spelling of 323820 in words is "three hundred twenty-three thousand, eight hundred twenty".