9891168 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2749440.

The previous prime is 9891151. The next prime is 9891179. The reversal of 9891168 is 8611989.

9891168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

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, 27373 + ... + 27731.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^9891168 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 9891168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

9891168 is an abundant number, since it is smaller than the sum of its proper divisors (20590752).

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

9891168 is a wasteful number, since it uses less digits than its factorization.

9891168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 31104, while the sum is 42.

The square root of 9891168 is about 3145.0227344170. The cubic root of 9891168 is about 214.6590449480.

The spelling of 9891168 in words is "nine million, eight hundred ninety-one thousand, one hundred sixty-eight".