9000264 has 96 divisors (see below), whose sum is σ = 27933120. Its totient is φ = 2366208.

The previous prime is 9000253. The next prime is 9000269. The reversal of 9000264 is 4620009.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 9000264.

It is not an unprimeable number, because it can be changed into a prime (9000269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28234 + ... + 28550.

It is an arithmetic number, because the mean of its divisors is an integer number (290970).

Almost surely, 2^9000264 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 9000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966560).

9000264 is an abundant number, since it is smaller than the sum of its proper divisors (18932856).

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

9000264 is a wasteful number, since it uses less digits than its factorization.

9000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 9000264 is about 3000.0439996773. The cubic root of 9000264 is about 208.0104161450.

The spelling of 9000264 in words is "nine million, two hundred sixty-four", and thus it is an aban number.