90000120 has 128 divisors (see below), whose sum is σ = 310464000. Its totient is φ = 20445696.

The previous prime is 90000109. The next prime is 90000121. The reversal of 90000120 is 2100009.

It is a happy number.

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 = 90000096 and 90000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257706 + ... + 258054.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2^90000120 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 90000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232000).

90000120 is an abundant number, since it is smaller than the sum of its proper divisors (220463880).

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

90000120 is a wasteful number, since it uses less digits than its factorization.

90000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

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

The square root of 90000120 is about 9486.8393050584. The cubic root of 90000120 is about 448.1406738292.

Adding to 90000120 its reverse (2100009), we get a palindrome (92100129).

The spelling of 90000120 in words is "ninety million, one hundred twenty", and thus it is an aban number.