822320 has 40 divisors (see below), whose sum is σ = 2016240. Its totient is φ = 311040.

The previous prime is 822317. The next prime is 822323. The reversal of 822320 is 23228.

It is an interprime number because it is at equal distance from previous prime (822317) and next prime (822323).

It is a tau number, because it is divible by the number of its divisors (40).

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 822320.

It is not an unprimeable number, because it can be changed into a prime (822323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1250 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (50406).

2⁸²²³²⁰ is an apocalyptic number.

822320 is a gapful number since it is divisible by the number (80) 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 822320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008120).

822320 is an abundant number, since it is smaller than the sum of its proper divisors (1193920).

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

822320 is a wasteful number, since it uses less digits than its factorization.

822320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 822320 is about 906.8186147185. The cubic root of 822320 is about 93.6872053563.

Adding to 822320 its reverse (23228), we get a palindrome (845548).

The spelling of 822320 in words is "eight hundred twenty-two thousand, three hundred twenty".