9004000 has 48 divisors (see below), whose sum is σ = 22132656. Its totient is φ = 3600000.

The previous prime is 9003997. The next prime is 9004013. The reversal of 9004000 is 4009.

It is a happy number.

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, 2875 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (461097).

Almost surely, 2^9004000 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 9004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066328).

9004000 is an abundant number, since it is smaller than the sum of its proper divisors (13128656).

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

9004000 is a wasteful number, since it uses less digits than its factorization.

9004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 9004000 is about 3000.6665926090. Note that the first 3 decimals coincide. The cubic root of 9004000 is about 208.0391937976.

Adding to 9004000 its reverse (4009), we get a palindrome (9008009).

It can be divided in two parts, 900 and 4000, that added together give a square (4900 = 70²).

The spelling of 9004000 in words is "nine million, four thousand".