9288864 has 96 divisors (see below), whose sum is σ = 29211840. Its totient is φ = 2854656.

The previous prime is 9288857. The next prime is 9288883. The reversal of 9288864 is 4688829.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10819 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (304290).

Almost surely, 2^9288864 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 9288864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

9288864 is an abundant number, since it is smaller than the sum of its proper divisors (19922976).

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

9288864 is a wasteful number, since it uses less digits than its factorization.

9288864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 9288864 is about 3047.7637703733. The cubic root of 9288864 is about 210.2104013710.

The spelling of 9288864 in words is "nine million, two hundred eighty-eight thousand, eight hundred sixty-four".