9803664 has 60 divisors (see below), whose sum is σ = 29552796. Its totient is φ = 3015936.

The previous prime is 9803623. The next prime is 9803669. The reversal of 9803664 is 4663089.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 4875264 = 2220^2 + 2208^2 .

It is a super-2 number, since 2×9803664² = 192223655649792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9803669) 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 11 ways as a sum of consecutive naturals, for example, 747 + ... + 4490.

Almost surely, 2^9803664 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 9803664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776398).

9803664 is an abundant number, since it is smaller than the sum of its proper divisors (19749132).

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

9803664 is a wasteful number, since it uses less digits than its factorization.

9803664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9803664 is about 3131.0803247442. The cubic root of 9803664 is about 214.0241624099.

The spelling of 9803664 in words is "nine million, eight hundred three thousand, six hundred sixty-four".