822096 has 80 divisors (see below), whose sum is σ = 2589120. Its totient is φ = 247680.

The previous prime is 822079. The next prime is 822113. The reversal of 822096 is 690228.

It is an interprime number because it is at equal distance from previous prime (822079) and next prime (822113).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 822096.

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, 4666 + ... + 4838.

It is an arithmetic number, because the mean of its divisors is an integer number (32364).

2⁸²²⁰⁹⁶ 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 822096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294560).

822096 is an abundant number, since it is smaller than the sum of its proper divisors (1767024).

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

822096 is a wasteful number, since it uses less digits than its factorization.

822096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 822096 is about 906.6950975935. The cubic root of 822096 is about 93.6786977844.

It can be divided in two parts, 82209 and 6, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 822096 in words is "eight hundred twenty-two thousand, ninety-six".