90120 has 32 divisors (see below), whose sum is σ = 270720. Its totient is φ = 24000.

The previous prime is 90107. The next prime is 90121. The reversal of 90120 is 2109.

It is a happy number.

It is a super-2 number, since 2×90120² = 16243228800, which contains 22 as substring.

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 = 90096 and 90105.

It is not an unprimeable number, because it can be changed into a prime (90121) by changing a digit.

90120 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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (8460).

2⁹⁰¹²⁰ is an apocalyptic number.

It is an amenable number.

90120 is an abundant number, since it is smaller than the sum of its proper divisors (180600).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135360).

90120 is a wasteful number, since it uses less digits than its factorization.

90120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

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

The square root of 90120 is about 300.1999333777. The cubic root of 90120 is about 44.8339559744.

Adding to 90120 its reverse (2109), we get a palindrome (92229).

It can be divided in two parts, 90 and 120, that added together give a triangular number (210 = T₂₀).

The spelling of 90120 in words is "ninety thousand, one hundred twenty".