322944 has 48 divisors (see below), whose sum is σ = 888420. Its totient is φ = 103936.

The previous prime is 322939. The next prime is 322951. The reversal of 322944 is 449223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11122 + ... + 11150.

2³²²⁹⁴⁴ 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 322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444210).

322944 is an abundant number, since it is smaller than the sum of its proper divisors (565476).

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

322944 is an equidigital number, since it uses as much as digits as its factorization.

322944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

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

The square root of 322944 is about 568.2816203257. The cubic root of 322944 is about 68.6081549293.

Multiplying 322944 by its sum of digits (24), we get a square (7750656 = 2784²).

322944 divided by its sum of digits (24) gives a square (13456 = 116²).

The spelling of 322944 in words is "three hundred twenty-two thousand, nine hundred forty-four".