322816 has 36 divisors (see below), whose sum is σ = 701092. Its totient is φ = 147456.

The previous prime is 322807. The next prime is 322849. The reversal of 322816 is 618223.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 230400 = 304^2 + 480^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3280 + ... + 3376.

2³²²⁸¹⁶ 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 322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350546).

322816 is an abundant number, since it is smaller than the sum of its proper divisors (378276).

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

322816 is an equidigital number, since it uses as much as digits as its factorization.

322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 322816 is about 568.1689889461. The cubic root of 322816 is about 68.5990893696.

The spelling of 322816 in words is "three hundred twenty-two thousand, eight hundred sixteen".