822048 has 24 divisors (see below), whose sum is σ = 2158128. Its totient is φ = 273984.

The previous prime is 822037. The next prime is 822049. The reversal of 822048 is 840228.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×822048³ = 1666528656533323776, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 822048.

It is not an unprimeable number, because it can be changed into a prime (822049) 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, 4186 + ... + 4377.

It is an arithmetic number, because the mean of its divisors is an integer number (89922).

2⁸²²⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

822048 is an abundant number, since it is smaller than the sum of its proper divisors (1336080).

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

822048 is a wasteful number, since it uses less digits than its factorization.

822048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 822048 is about 906.6686274489. The cubic root of 822048 is about 93.6768745322.

The spelling of 822048 in words is "eight hundred twenty-two thousand, forty-eight".