9883664 has 80 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 3827712.

The previous prime is 9883633. The next prime is 9883669. The reversal of 9883664 is 4663889.

9883664 = T₂₀₅ + T₂₀₆ + ... + T₄₀₇.

It is not an unprimeable number, because it can be changed into a prime (9883669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55127 + ... + 55305.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^9883664 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 9883664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

9883664 is an abundant number, since it is smaller than the sum of its proper divisors (14221936).

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

9883664 is a wasteful number, since it uses less digits than its factorization.

9883664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 9883664 is about 3143.8295119170. The cubic root of 9883664 is about 214.6047470466.

The spelling of 9883664 in words is "nine million, eight hundred eighty-three thousand, six hundred sixty-four".