822120 has 128 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 184320.

The previous prime is 822113. The next prime is 822131. The reversal of 822120 is 21228.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 822120.

It is a congruent number.

It is an unprimeable number.

822120 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 31 ways as a sum of consecutive naturals, for example, 26505 + ... + 26535.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁸²²¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

822120 is an abundant number, since it is smaller than the sum of its proper divisors (2080920).

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

822120 is a wasteful number, since it uses less digits than its factorization.

822120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 822120 is about 906.7083323760. The cubic root of 822120 is about 93.6796093838.

Adding to 822120 its reverse (21228), we get a palindrome (843348).

The spelling of 822120 in words is "eight hundred twenty-two thousand, one hundred twenty".