9036288 has 120 divisors (see below), whose sum is σ = 27289548. Its totient is φ = 2875392.

The previous prime is 9036281. The next prime is 9036311. The reversal of 9036288 is 8826309.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 1016064 = 2832^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9036281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170470 + ... + 170522.

Almost surely, 2^9036288 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 9036288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644774).

9036288 is an abundant number, since it is smaller than the sum of its proper divisors (18253260).

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

9036288 is a wasteful number, since it uses less digits than its factorization.

9036288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9036288 is about 3006.0419158754. The cubic root of 9036288 is about 208.2875706774.

The spelling of 9036288 in words is "nine million, thirty-six thousand, two hundred eighty-eight".