90085120 has 36 divisors (see below), whose sum is σ = 215785080. Its totient is φ = 36033536.

The previous prime is 90085117. The next prime is 90085123. The reversal of 90085120 is 2158009.

It is an interprime number because it is at equal distance from previous prime (90085117) and next prime (90085123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90085123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33910 + ... + 36469.

It is an arithmetic number, because the mean of its divisors is an integer number (5994030).

Almost surely, 2^90085120 is an apocalyptic number.

It is an amenable number.

90085120 is an abundant number, since it is smaller than the sum of its proper divisors (125699960).

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

90085120 is an equidigital number, since it uses as much as digits as its factorization.

90085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70400 (or 70386 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 90085120 is about 9491.3181381724. The cubic root of 90085120 is about 448.2817105732.

The spelling of 90085120 in words is "ninety million, eighty-five thousand, one hundred twenty".