823320 has 48 divisors (see below), whose sum is σ = 2676960. Its totient is φ = 219456.

The previous prime is 823309. The next prime is 823337. The reversal of 823320 is 23328.

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 = 823293 and 823302.

It is a congruent number.

It is an unprimeable number.

823320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 784 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (55770).

2⁸²³³²⁰ is an apocalyptic number.

It is an amenable number.

823320 is an abundant number, since it is smaller than the sum of its proper divisors (1853640).

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

823320 is a wasteful number, since it uses less digits than its factorization.

823320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2297 counting only the distinct ones).

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

The square root of 823320 is about 907.3698253744. The cubic root of 823320 is about 93.7251667559.

Adding to 823320 its reverse (23328), we get a palindrome (846648).

The spelling of 823320 in words is "eight hundred twenty-three thousand, three hundred twenty".