822368 has 24 divisors (see below), whose sum is σ = 1673280. Its totient is φ = 397440.

The previous prime is 822361. The next prime is 822379. The reversal of 822368 is 863228.

It is a self number, because there is not a number n which added to its sum of digits gives 822368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822361) 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 3 ways as a sum of consecutive naturals, for example, 578 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (69720).

2⁸²²³⁶⁸ 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 822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836640).

822368 is an abundant number, since it is smaller than the sum of its proper divisors (850912).

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

822368 is a wasteful number, since it uses less digits than its factorization.

822368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 822368 is about 906.8450804851. The cubic root of 822368 is about 93.6890282065.

The spelling of 822368 in words is "eight hundred twenty-two thousand, three hundred sixty-eight".