9005088 has 48 divisors (see below), whose sum is σ = 24887520. Its totient is φ = 2843136.

The previous prime is 9005081. The next prime is 9005089. The reversal of 9005088 is 8805009.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (9005081) 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 7 ways as a sum of consecutive naturals, for example, 645 + ... + 4292.

It is an arithmetic number, because the mean of its divisors is an integer number (518490).

Almost surely, 2^9005088 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 9005088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443760).

9005088 is an abundant number, since it is smaller than the sum of its proper divisors (15882432).

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

9005088 is a wasteful number, since it uses less digits than its factorization.

9005088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 9005088 is about 3000.8478801832. The cubic root of 9005088 is about 208.0475729449.

The spelling of 9005088 in words is "nine million, five thousand, eighty-eight".