9887680 has 84 divisors (see below), whose sum is σ = 26179272. Its totient is φ = 3527680.

The previous prime is 9887663. The next prime is 9887681. The reversal of 9887680 is 867889.

It is a self number, because there is not a number n which added to its sum of digits gives 9887680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9887681) 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 11 ways as a sum of consecutive naturals, for example, 186534 + ... + 186586.

It is an arithmetic number, because the mean of its divisors is an integer number (311658).

Almost surely, 2^9887680 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 9887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089636).

9887680 is an abundant number, since it is smaller than the sum of its proper divisors (16291592).

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

9887680 is a wasteful number, since it uses less digits than its factorization.

9887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 9887680 is about 3144.4681585286. The cubic root of 9887680 is about 214.6338096817.

It can be divided in two parts, 988 and 7680, that added together give a palindrome (8668).

The spelling of 9887680 in words is "nine million, eight hundred eighty-seven thousand, six hundred eighty".