8322168960 has 512 divisors, whose sum is σ = 34052659200. Its totient is φ = 1881501696.

The previous prime is 8322168931. The next prime is 8322168991. The reversal of 8322168960 is 698612238.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 12942399 + ... + 12943041.

It is an arithmetic number, because the mean of its divisors is an integer number (66509100).

Almost surely, 2^8322168960 is an apocalyptic number.

8322168960 is a gapful number since it is divisible by the number (80) 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 8322168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026329600).

8322168960 is an abundant number, since it is smaller than the sum of its proper divisors (25730490240).

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

8322168960 is a wasteful number, since it uses less digits than its factorization.

8322168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8322168960 is about 91225.9226316731. The cubic root of 8322168960 is about 2026.4948742502.

The spelling of 8322168960 in words is "eight billion, three hundred twenty-two million, one hundred sixty-eight thousand, nine hundred sixty".