90285120 has 336 divisors, whose sum is σ = 342351360. Its totient is φ = 21762048.

The previous prime is 90285109. The next prime is 90285137. The reversal of 90285120 is 2158209.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920937 + ... + 1920983.

Almost surely, 2^90285120 is an apocalyptic number.

90285120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

90285120 is an abundant number, since it is smaller than the sum of its proper divisors (252066240).

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

90285120 is a wasteful number, since it uses less digits than its factorization.

90285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90285120 is about 9501.8482412634. The cubic root of 90285120 is about 448.6132121371.

The spelling of 90285120 in words is "ninety million, two hundred eighty-five thousand, one hundred twenty".