9903564 has 72 divisors (see below), whose sum is σ = 27714960. Its totient is φ = 2956800.

The previous prime is 9903559. The next prime is 9903589. The reversal of 9903564 is 4653099.

9903564 is a `hidden beast` number, since 9 + 90 + 3 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 35104 + ... + 35384.

It is an arithmetic number, because the mean of its divisors is an integer number (384930).

Almost surely, 2^9903564 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 9903564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857480).

9903564 is an abundant number, since it is smaller than the sum of its proper divisors (17811396).

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

9903564 is a wasteful number, since it uses less digits than its factorization.

9903564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9903564 is about 3146.9928503255. The cubic root of 9903564 is about 214.7486805605.

It can be divided in two parts, 99035 and 64, that added together give a palindrome (99099).

The spelling of 9903564 in words is "nine million, nine hundred three thousand, five hundred sixty-four".