8917796160 has 504 divisors, whose sum is σ = 38434051656. Its totient is φ = 1881169920.

The previous prime is 8917796077. The next prime is 8917796161. The reversal of 8917796160 is 616977198.

8917796160 is a `hidden beast` number, since 8 + 9 + 17 + 7 + 9 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1197713664 + 7720082496 = 34608^2 + 87864^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 8917796097 and 8917796106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8917796161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1832130 + ... + 1836990.

It is an arithmetic number, because the mean of its divisors is an integer number (76258039).

Almost surely, 2^8917796160 is an apocalyptic number.

8917796160 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 8917796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217025828).

8917796160 is an abundant number, since it is smaller than the sum of its proper divisors (29516255496).

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

8917796160 is a wasteful number, since it uses less digits than its factorization.

8917796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 8917796160 is about 94434.0836774520. The cubic root of 8917796160 is about 2073.7314477857.

The spelling of 8917796160 in words is "eight billion, nine hundred seventeen million, seven hundred ninety-six thousand, one hundred sixty".