9000900 has 108 divisors (see below), whose sum is σ = 28808052. Its totient is φ = 2350080.

The previous prime is 9000899. The next prime is 9000907. The reversal of 9000900 is 90009.

It can be written as a sum of positive squares in 6 ways, for example, as 36864 + 8964036 = 192^2 + 2994^2 .

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 not an unprimeable number, because it can be changed into a prime (9000907) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 65632 + ... + 65768.

Almost surely, 2^9000900 is an apocalyptic number.

9000900 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 9000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404026).

9000900 is an abundant number, since it is smaller than the sum of its proper divisors (19807152).

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

9000900 is a wasteful number, since it uses less digits than its factorization.

9000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

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

The square root of 9000900 is about 3000.1499962502. The cubic root of 9000900 is about 208.0153156868.

Adding to 9000900 its reverse (90009), we get a palindrome (9090909).

Multiplying 9000900 by its reverse (90009), we get a square (810162008100 = 900090²).

9000900 divided by its reverse (90009) gives a square (100 = 10²).

The spelling of 9000900 in words is "nine million, nine hundred", and thus it is an aban number.