9001800 has 96 divisors (see below), whose sum is σ = 31024800. Its totient is φ = 2399040.

The previous prime is 9001799. The next prime is 9001829. The reversal of 9001800 is 81009.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4567 + ... + 6233.

It is an arithmetic number, because the mean of its divisors is an integer number (323175).

Almost surely, 2^9001800 is an apocalyptic number.

9001800 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 9001800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512400).

9001800 is an abundant number, since it is smaller than the sum of its proper divisors (22023000).

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

9001800 is a wasteful number, since it uses less digits than its factorization.

9001800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9001800 is about 3000.2999850015. The cubic root of 9001800 is about 208.0222486063.

Adding to 9001800 its reverse (81009), we get a palindrome (9082809).

It can be divided in two parts, 9001 and 800, that added together give a square (9801 = 99²).

The spelling of 9001800 in words is "nine million, one thousand, eight hundred".