823120 has 20 divisors (see below), whose sum is σ = 1913940. Its totient is φ = 329216.

The previous prime is 823117. The next prime is 823127. The reversal of 823120 is 21328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 287296 = 732^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 823094 and 823103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5065 + ... + 5224.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

2⁸²³¹²⁰ is an apocalyptic number.

823120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823120 is an abundant number, since it is smaller than the sum of its proper divisors (1090820).

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

823120 is a wasteful number, since it uses less digits than its factorization.

823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 823120 is about 907.2596100345. The cubic root of 823120 is about 93.7175769361.

Adding to 823120 its reverse (21328), we get a palindrome (844448).

The spelling of 823120 in words is "eight hundred twenty-three thousand, one hundred twenty".