9913644 has 96 divisors (see below), whose sum is σ = 28976640. Its totient is φ = 2908224.

The previous prime is 9913643. The next prime is 9913661. The reversal of 9913644 is 4463199.

9913644 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 644 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9913599 and 9913608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9913643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32139 + ... + 32445.

It is an arithmetic number, because the mean of its divisors is an integer number (301840).

Almost surely, 2^9913644 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 9913644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488320).

9913644 is an abundant number, since it is smaller than the sum of its proper divisors (19062996).

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

9913644 is a wasteful number, since it uses less digits than its factorization.

9913644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9913644 is about 3148.5939719183. The cubic root of 9913644 is about 214.8215140275.

The spelling of 9913644 in words is "nine million, nine hundred thirteen thousand, six hundred forty-four".