9732864 has 144 divisors (see below), whose sum is σ = 29433600. Its totient is φ = 2838528.

The previous prime is 9732859. The next prime is 9732869. The reversal of 9732864 is 4682379.

It is an interprime number because it is at equal distance from previous prime (9732859) and next prime (9732869).

It is not an unprimeable number, because it can be changed into a prime (9732869) 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, 335602 + ... + 335630.

It is an arithmetic number, because the mean of its divisors is an integer number (204400).

Almost surely, 2^9732864 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 9732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716800).

9732864 is an abundant number, since it is smaller than the sum of its proper divisors (19700736).

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

9732864 is a wasteful number, since it uses less digits than its factorization.

9732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 9732864 is about 3119.7538364429. The cubic root of 9732864 is about 213.5077046583.

The spelling of 9732864 in words is "nine million, seven hundred thirty-two thousand, eight hundred sixty-four".