9009280 has 64 divisors (see below), whose sum is σ = 24626880. Its totient is φ = 3087360.

The previous prime is 9009277. The next prime is 9009281. The reversal of 9009280 is 829009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9009280² = 162334252236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (9009281) 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, 3475 + ... + 5485.

It is an arithmetic number, because the mean of its divisors is an integer number (384795).

Almost surely, 2^9009280 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 9009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313440).

9009280 is an abundant number, since it is smaller than the sum of its proper divisors (15617600).

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

9009280 is a wasteful number, since it uses less digits than its factorization.

9009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 9009280 is about 3001.5462681758. The cubic root of 9009280 is about 208.0798509982.

The spelling of 9009280 in words is "nine million, nine thousand, two hundred eighty".