822848 has 56 divisors (see below), whose sum is σ = 1877568. Its totient is φ = 354816.

The previous prime is 822839. The next prime is 822853. The reversal of 822848 is 848228.

It is a super-2 number, since 2×822848² = 1354157662208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

822848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 19115 + ... + 19157.

It is an arithmetic number, because the mean of its divisors is an integer number (33528).

2⁸²²⁸⁴⁸ 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 822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938784).

822848 is an abundant number, since it is smaller than the sum of its proper divisors (1054720).

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

822848 is a wasteful number, since it uses less digits than its factorization.

822848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 822848 is about 907.1096956818. The cubic root of 822848 is about 93.7072528078.

The spelling of 822848 in words is "eight hundred twenty-two thousand, eight hundred forty-eight".