9004820 has 54 divisors (see below), whose sum is σ = 21131838. Its totient is φ = 3220800.

The previous prime is 9004811. The next prime is 9004829. The reversal of 9004820 is 284009.

9004820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9004811) and next prime (9004829).

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 8305924 = 836^2 + 2882^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147590 + ... + 147650.

Almost surely, 2^9004820 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 9004820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565919).

9004820 is an abundant number, since it is smaller than the sum of its proper divisors (12127018).

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

9004820 is a wasteful number, since it uses less digits than its factorization.

9004820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 9004820 is about 3000.8032258047. The cubic root of 9004820 is about 208.0455090264.

Adding to 9004820 its reverse (284009), we get a palindrome (9288829).

The spelling of 9004820 in words is "nine million, four thousand, eight hundred twenty".