9891680 has 48 divisors (see below), whose sum is σ = 23559984. Its totient is φ = 3924480.

The previous prime is 9891653. The next prime is 9891689. The reversal of 9891680 is 861989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9891689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33614 + ... + 33906.

It is an arithmetic number, because the mean of its divisors is an integer number (490833).

Almost surely, 2^9891680 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 9891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779992).

9891680 is an abundant number, since it is smaller than the sum of its proper divisors (13668304).

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

9891680 is a wasteful number, since it uses less digits than its factorization.

9891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 9891680 is about 3145.1041318214. The cubic root of 9891680 is about 214.6627487079.

The spelling of 9891680 in words is "nine million, eight hundred ninety-one thousand, six hundred eighty".