9936864 has 192 divisors, whose sum is σ = 34836480. Its totient is φ = 2695680.

The previous prime is 9936859. The next prime is 9936869. The reversal of 9936864 is 4686399.

It is an interprime number because it is at equal distance from previous prime (9936859) and next prime (9936869).

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

Its product of digits (279936) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9936869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187462 + ... + 187514.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^9936864 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 9936864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

9936864 is an abundant number, since it is smaller than the sum of its proper divisors (24899616).

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

9936864 is a wasteful number, since it uses less digits than its factorization.

9936864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9936864 is about 3152.2791754538. The cubic root of 9936864 is about 214.9891034679.

It can be divided in two parts, 99 and 36864, that added together give a palindrome (36963).

The spelling of 9936864 in words is "nine million, nine hundred thirty-six thousand, eight hundred sixty-four".