322320096 has 144 divisors (see below), whose sum is σ = 1065119328. Its totient is φ = 90547200.

The previous prime is 322320077. The next prime is 322320107. The reversal of 322320096 is 690023223.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121666 + ... + 124286.

It is an arithmetic number, because the mean of its divisors is an integer number (7396662).

Almost surely, 2^322320096 is an apocalyptic number.

322320096 is a gapful number since it is divisible by the number (36) 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 322320096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532559664).

322320096 is an abundant number, since it is smaller than the sum of its proper divisors (742799232).

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

322320096 is a wasteful number, since it uses less digits than its factorization.

322320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 322320096 is about 17953.2753557673. The cubic root of 322320096 is about 685.6394448081.

The spelling of 322320096 in words is "three hundred twenty-two million, three hundred twenty thousand, ninety-six".