9864768 has 56 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 3258880.

The previous prime is 9864763. The next prime is 9864773. The reversal of 9864768 is 8674689.

It is an interprime number because it is at equal distance from previous prime (9864763) and next prime (9864773).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9864761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36538 + ... + 36806.

Almost surely, 2^9864768 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 9864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

9864768 is an abundant number, since it is smaller than the sum of its proper divisors (16469952).

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

9864768 is a wasteful number, since it uses less digits than its factorization.

9864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 9864768 is about 3140.8228221280. The cubic root of 9864768 is about 214.4678963696.

The spelling of 9864768 in words is "nine million, eight hundred sixty-four thousand, seven hundred sixty-eight".