9963564 has 72 divisors (see below), whose sum is σ = 26747280. Its totient is φ = 2885376.

The previous prime is 9963563. The next prime is 9963571. The reversal of 9963564 is 4653699.

It is not an unprimeable number, because it can be changed into a prime (9963563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586084 + ... + 586100.

It is an arithmetic number, because the mean of its divisors is an integer number (371490).

Almost surely, 2^9963564 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 9963564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373640).

9963564 is an abundant number, since it is smaller than the sum of its proper divisors (16783716).

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

9963564 is a wasteful number, since it uses less digits than its factorization.

9963564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 9963564 is about 3156.5113654159. The cubic root of 9963564 is about 215.1814872850.

It can be divided in two parts, 99635 and 64, that added together give a palindrome (99699).

The spelling of 9963564 in words is "nine million, nine hundred sixty-three thousand, five hundred sixty-four".