9160905600 has 1536 divisors, whose sum is σ = 44804275200. Its totient is φ = 1791590400.

The previous prime is 9160905581. The next prime is 9160905601. The reversal of 9160905600 is 65090619.

9160905600 is a `hidden beast` number, since 9 + 1 + 6 + 0 + 90 + 560 + 0 = 666.

It is a super-2 number, since 2×9160905600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9160905601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538876792 + ... + 538876808.

It is an arithmetic number, because the mean of its divisors is an integer number (29169450).

Almost surely, 2^9160905600 is an apocalyptic number.

9160905600 is a gapful number since it is divisible by the number (90) 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 9160905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402137600).

9160905600 is an abundant number, since it is smaller than the sum of its proper divisors (35643369600).

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

9160905600 is a wasteful number, since it uses less digits than its factorization.

9160905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9160905600 is about 95712.6198575716. The cubic root of 9160905600 is about 2092.4068637006.

The spelling of 9160905600 in words is "nine billion, one hundred sixty million, nine hundred five thousand, six hundred".