9611112960 has 240 divisors, whose sum is σ = 33510607416. Its totient is φ = 2545680384.

The previous prime is 9611112943. The next prime is 9611112967. The reversal of 9611112960 is 692111169.

9611112960 is a `hidden beast` number, since 9 + 611 + 11 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7456667904 + 2154445056 = 86352^2 + 46416^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (9611112967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3615952 + ... + 3618608.

Almost surely, 2^9611112960 is an apocalyptic number.

9611112960 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 9611112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755303708).

9611112960 is an abundant number, since it is smaller than the sum of its proper divisors (23899494456).

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

9611112960 is a wasteful number, since it uses less digits than its factorization.

9611112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 9611112960 is about 98036.2838953007. The cubic root of 9611112960 is about 2126.1369111633.

The spelling of 9611112960 in words is "nine billion, six hundred eleven million, one hundred twelve thousand, nine hundred sixty".