9896607360 has 192 divisors, whose sum is σ = 34528483080. Its totient is φ = 2611740672.

The previous prime is 9896607323. The next prime is 9896607377. The reversal of 9896607360 is 637066989.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9405896256 + 490711104 = 96984^2 + 22152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 9896607297 and 9896607306.

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, 549864 + ... + 567576.

Almost surely, 2^9896607360 is an apocalyptic number.

9896607360 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 9896607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264241540).

9896607360 is an abundant number, since it is smaller than the sum of its proper divisors (24631875720).

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

9896607360 is a wasteful number, since it uses less digits than its factorization.

9896607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17835 (or 17820 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9896607360 is about 99481.6935923389. The cubic root of 9896607360 is about 2146.9838623567.

The spelling of 9896607360 in words is "nine billion, eight hundred ninety-six million, six hundred seven thousand, three hundred sixty".