9009000 has 384 divisors, whose sum is σ = 40884480. Its totient is φ = 1728000.

The previous prime is 9008981. The next prime is 9009017. The reversal of 9009000 is 9009.

Added to its reverse (9009) it gives a square (9018009 = 3003²).

9009000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692994 + ... + 693006.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

Almost surely, 2^9009000 is an apocalyptic number.

9009000 is a gapful number since it is divisible by the number (90) 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 9009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

9009000 is an abundant number, since it is smaller than the sum of its proper divisors (31875480).

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

9009000 is a wasteful number, since it uses less digits than its factorization.

9009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 9009000 is about 3001.4996251874. The cubic root of 9009000 is about 208.0776953334.

9009000 divided by its sum of digits (18) gives a triangular number (500500 = T₁₀₀₀).

Adding to 9009000 its reverse (9009), we get a square (9018009 = 3003²).

9009000 divided by its reverse (9009) gives a cube (1000 = 10³).

The spelling of 9009000 in words is "nine million, nine thousand".