900120 has 64 divisors (see below), whose sum is σ = 2913120. Its totient is φ = 221184.

The previous prime is 900103. The next prime is 900121. The reversal of 900120 is 21009.

It is a happy number.

900120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 900096 and 900105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900121) by changing a digit.

900120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272 + ... + 1848.

2⁹⁰⁰¹²⁰ 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 900120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456560).

900120 is an abundant number, since it is smaller than the sum of its proper divisors (2013000).

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

900120 is a wasteful number, since it uses less digits than its factorization.

900120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 900120 is about 948.7465414957. The cubic root of 900120 is about 96.5532293338.

Adding to 900120 its reverse (21009), we get a palindrome (921129).

The spelling of 900120 in words is "nine hundred thousand, one hundred twenty".