9008000 has 64 divisors (see below), whose sum is σ = 22435920. Its totient is φ = 3596800.

The previous prime is 9007993. The next prime is 9008023. The reversal of 9008000 is 8009.

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

It is a super-2 number, since 2×9008000² = 162288128000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9008000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15719 + ... + 16281.

Almost surely, 2^9008000 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 9008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217960).

9008000 is an abundant number, since it is smaller than the sum of its proper divisors (13427920).

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

9008000 is an equidigital number, since it uses as much as digits as its factorization.

9008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 9008000 is about 3001.3330371687. Note that the first 3 decimals coincide. The cubic root of 9008000 is about 208.0699961661.

The spelling of 9008000 in words is "nine million, eight thousand".