9008820 has 120 divisors (see below), whose sum is σ = 29028384. Its totient is φ = 2337984.

The previous prime is 9008809. The next prime is 9008837. The reversal of 9008820 is 288009.

9008820 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108499 + ... + 108581.

Almost surely, 2^9008820 is an apocalyptic number.

9008820 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 9008820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514192).

9008820 is an abundant number, since it is smaller than the sum of its proper divisors (20019564).

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

9008820 is a wasteful number, since it uses less digits than its factorization.

9008820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9008820 is about 3001.4696400264. The cubic root of 9008820 is about 208.0763095253.

The spelling of 9008820 in words is "nine million, eight thousand, eight hundred twenty".