9961200960 has 112 divisors (see below), whose sum is σ = 31680278016. Its totient is φ = 2651830272.

The previous prime is 9961200959. The next prime is 9961200971. The reversal of 9961200960 is 690021699.

It is a happy number.

9961200960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580017 + ... + 596943.

Almost surely, 2^9961200960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9961200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840139008).

9961200960 is an abundant number, since it is smaller than the sum of its proper divisors (21719077056).

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

9961200960 is a wasteful number, since it uses less digits than its factorization.

9961200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17560 (or 17550 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 9961200960 is about 99805.8162633822. The cubic root of 9961200960 is about 2151.6447454185.

The spelling of 9961200960 in words is "nine billion, nine hundred sixty-one million, two hundred thousand, nine hundred sixty".