322248960 has 216 divisors, whose sum is σ = 1216785024. Its totient is φ = 78090240.

The previous prime is 322248917. The next prime is 322249007. The reversal of 322248960 is 69842223.

322248960 is a `hidden beast` number, since 322 + 248 + 96 + 0 = 666.

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

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, 125449 + ... + 127991.

It is an arithmetic number, because the mean of its divisors is an integer number (5633264).

Almost surely, 2^322248960 is an apocalyptic number.

322248960 is a gapful number since it is divisible by the number (30) 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 322248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608392512).

322248960 is an abundant number, since it is smaller than the sum of its proper divisors (894536064).

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

322248960 is a wasteful number, since it uses less digits than its factorization.

322248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 322248960 is about 17951.2941037687. The cubic root of 322248960 is about 685.5890009205.

The spelling of 322248960 in words is "three hundred twenty-two million, two hundred forty-eight thousand, nine hundred sixty".