9003264 has 72 divisors (see below), whose sum is σ = 25263840. Its totient is φ = 2838528.

The previous prime is 9003263. The next prime is 9003271. The reversal of 9003264 is 4623009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (9003263) 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, 14284 + ... + 14900.

Almost surely, 2^9003264 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 9003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631920).

9003264 is an abundant number, since it is smaller than the sum of its proper divisors (16260576).

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

9003264 is a wasteful number, since it uses less digits than its factorization.

9003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 9003264 is about 3000.5439506863. The cubic root of 9003264 is about 208.0335251682.

The spelling of 9003264 in words is "nine million, three thousand, two hundred sixty-four".