9936560 has 40 divisors (see below), whose sum is σ = 23904720. Its totient is φ = 3836672.

The previous prime is 9936557. The next prime is 9936571. The reversal of 9936560 is 656399.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 179 + ... + 4461.

It is an arithmetic number, because the mean of its divisors is an integer number (597618).

Almost surely, 2^9936560 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 9936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952360).

9936560 is an abundant number, since it is smaller than the sum of its proper divisors (13968160).

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

9936560 is a wasteful number, since it uses less digits than its factorization.

9936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 9936560 is about 3152.2309560056. The cubic root of 9936560 is about 214.9869110474.

The spelling of 9936560 in words is "nine million, nine hundred thirty-six thousand, five hundred sixty".