9986560 has 80 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 3862528.

The previous prime is 9986539. The next prime is 9986563. The reversal of 9986560 is 656899.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9986563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120279 + ... + 120361.

Almost surely, 2^9986560 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 9986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

9986560 is an abundant number, since it is smaller than the sum of its proper divisors (14761856).

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

9986560 is an equidigital number, since it uses as much as digits as its factorization.

9986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 9986560 is about 3160.1518950835. The cubic root of 9986560 is about 215.3469070564.

The spelling of 9986560 in words is "nine million, nine hundred eighty-six thousand, five hundred sixty".