822864 has 80 divisors (see below), whose sum is σ = 2539520. Its totient is φ = 224640.

The previous prime is 822853. The next prime is 822881. The reversal of 822864 is 468228.

It is a happy number.

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

Its product of digits (6144) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10377 + ... + 10455.

It is an arithmetic number, because the mean of its divisors is an integer number (31744).

2⁸²²⁸⁶⁴ is an apocalyptic number.

822864 is a gapful number since it is divisible by the number (84) 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 822864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269760).

822864 is an abundant number, since it is smaller than the sum of its proper divisors (1716656).

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

822864 is a wasteful number, since it uses less digits than its factorization.

822864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 822864 is about 907.1185148590. The cubic root of 822864 is about 93.7078601725.

The spelling of 822864 in words is "eight hundred twenty-two thousand, eight hundred sixty-four".