9045008 has 60 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 3802176.

The previous prime is 9044999. The next prime is 9045011. The reversal of 9045008 is 8005409.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65003 + ... + 65141.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 2^9045008 is an apocalyptic number.

9045008 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9045008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389960).

9045008 is an abundant number, since it is smaller than the sum of its proper divisors (11734912).

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

9045008 is a wasteful number, since it uses less digits than its factorization.

9045008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 9045008 is about 3007.4919783767. The cubic root of 9045008 is about 208.3545481685.

The spelling of 9045008 in words is "nine million, forty-five thousand, eight".