322253568 has 432 divisors, whose sum is σ = 1205305920. Its totient is φ = 80510976.

The previous prime is 322253551. The next prime is 322253579. The reversal of 322253568 is 865352223.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080230 + ... + 6080282.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^322253568 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 322253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602652960).

322253568 is an abundant number, since it is smaller than the sum of its proper divisors (883052352).

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

322253568 is a wasteful number, since it uses less digits than its factorization.

322253568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 322253568 is about 17951.4224506026. The cubic root of 322253568 is about 685.5922687656.

The spelling of 322253568 in words is "three hundred twenty-two million, two hundred fifty-three thousand, five hundred sixty-eight".