322896 has 60 divisors (see below), whose sum is σ = 985056. Its totient is φ = 89280.

The previous prime is 322891. The next prime is 322901. The reversal of 322896 is 698223.

It is an interprime number because it is at equal distance from previous prime (322891) and next prime (322901).

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 322896.

It is not an unprimeable number, because it can be changed into a prime (322891) by changing a digit.

322896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10401 + ... + 10431.

322896 is a Friedman number, since it can be written as 92^2+68^3, using all its digits and the basic arithmetic operations.

2³²²⁸⁹⁶ 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 322896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492528).

322896 is an abundant number, since it is smaller than the sum of its proper divisors (662160).

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

322896 is a wasteful number, since it uses less digits than its factorization.

322896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 43 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 322896 is about 568.2393861745. The cubic root of 322896 is about 68.6047556252.

The spelling of 322896 in words is "three hundred twenty-two thousand, eight hundred ninety-six".