9006000 has 160 divisors (see below), whose sum is σ = 30950400. Its totient is φ = 2246400.

The previous prime is 9005989. The next prime is 9006013. The reversal of 9006000 is 6009.

It is a Cunningham number, because it is equal to 3001²-1.

It is a super-2 number, since 2×9006000² = 162216072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113961 + ... + 114039.

It is an arithmetic number, because the mean of its divisors is an integer number (193440).

Almost surely, 2^9006000 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 9006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475200).

9006000 is an abundant number, since it is smaller than the sum of its proper divisors (21944400).

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

9006000 is a wasteful number, since it uses less digits than its factorization.

9006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 9006000 is about 3000.9998333889. Note that the first 3 decimals coincide. The cubic root of 9006000 is about 208.0545961219.

The spelling of 9006000 in words is "nine million, six thousand".