8170968960 has 1280 divisors, whose sum is σ = 38388556800. Its totient is φ = 1605795840.

The previous prime is 8170968931. The next prime is 8170968977. The reversal of 8170968960 is 698690718.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8170968897 and 8170968906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91808596 + ... + 91808684.

It is an arithmetic number, because the mean of its divisors is an integer number (29991060).

Almost surely, 2^8170968960 is an apocalyptic number.

8170968960 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 8170968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194278400).

8170968960 is an abundant number, since it is smaller than the sum of its proper divisors (30217587840).

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

8170968960 is a wasteful number, since it uses less digits than its factorization.

8170968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 8170968960 is about 90393.4121493375. The cubic root of 8170968960 is about 2014.1471070633.

The spelling of 8170968960 in words is "eight billion, one hundred seventy million, nine hundred sixty-eight thousand, nine hundred sixty".