9000920 has 16 divisors (see below), whose sum is σ = 20252160. Its totient is φ = 3600352.

The previous prime is 9000913. The next prime is 9000931. The reversal of 9000920 is 290009.

9000920 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 9000892 and 9000901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112472 + ... + 112551.

It is an arithmetic number, because the mean of its divisors is an integer number (1265760).

Almost surely, 2^9000920 is an apocalyptic number.

It is an amenable number.

9000920 is an abundant number, since it is smaller than the sum of its proper divisors (11251240).

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

9000920 is a wasteful number, since it uses less digits than its factorization.

9000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225034 (or 225030 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 9000920 is about 3000.1533294150. The cubic root of 9000920 is about 208.0154697567.

Adding to 9000920 its reverse (290009), we get a palindrome (9290929).

The spelling of 9000920 in words is "nine million, nine hundred twenty", and thus it is an aban number.