322368 has 56 divisors (see below), whose sum is σ = 902208. Its totient is φ = 101376.

The previous prime is 322351. The next prime is 322397. The reversal of 322368 is 863223.

It is a super-2 number, since 2×322368² = 207842254848, which contains 22 as substring.

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

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

It is a d-powerful number, because it can be written as 3⁴ + 2¹⁰ + 3¹⁰ + 2¹⁸ + 6 + 8² .

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 322368.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4380 + ... + 4452.

2³²²³⁶⁸ 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 322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451104).

322368 is an abundant number, since it is smaller than the sum of its proper divisors (579840).

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

322368 is a wasteful number, since it uses less digits than its factorization.

322368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 322368 is about 567.7746031657. The cubic root of 322368 is about 68.5673410262.

The spelling of 322368 in words is "three hundred twenty-two thousand, three hundred sixty-eight".