9000820 has 48 divisors (see below), whose sum is σ = 20901888. Its totient is φ = 3238400.

The previous prime is 9000809. The next prime is 9000821. The reversal of 9000820 is 280009.

9000820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7245 + ... + 8395.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 2^9000820 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 9000820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944).

9000820 is an abundant number, since it is smaller than the sum of its proper divisors (11901068).

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

9000820 is a wasteful number, since it uses less digits than its factorization.

9000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 9000820 is about 3000.1366635538. The cubic root of 9000820 is about 208.0146994050.

Adding to 9000820 its reverse (280009), we get a palindrome (9280829).

The spelling of 9000820 in words is "nine million, eight hundred twenty", and thus it is an aban number.