9965560 has 96 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 3449600.

The previous prime is 9965533. The next prime is 9965573. The reversal of 9965560 is 655699.

9965560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9965560² = 198624772227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140325 + ... + 140395.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^9965560 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 9965560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

9965560 is an abundant number, since it is smaller than the sum of its proper divisors (15889640).

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

9965560 is a wasteful number, since it uses less digits than its factorization.

9965560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 9965560 is about 3156.8275214208. The cubic root of 9965560 is about 215.1958554225.

It can be divided in two parts, 996 and 5560, that added together give a palindrome (6556).

The spelling of 9965560 in words is "nine million, nine hundred sixty-five thousand, five hundred sixty".