9961168 has 80 divisors (see below), whose sum is σ = 24125440. Its totient is φ = 3888000.

The previous prime is 9961151. The next prime is 9961207. The reversal of 9961168 is 8611699.

Its product of digits (23328) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 9961168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65893 + ... + 66043.

It is an arithmetic number, because the mean of its divisors is an integer number (301568).

Almost surely, 2^9961168 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 9961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062720).

9961168 is an abundant number, since it is smaller than the sum of its proper divisors (14164272).

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

9961168 is a wasteful number, since it uses less digits than its factorization.

9961168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 23328, while the sum is 40.

The square root of 9961168 is about 3156.1318096683. The cubic root of 9961168 is about 215.1642372268.

The spelling of 9961168 in words is "nine million, nine hundred sixty-one thousand, one hundred sixty-eight".