90085060 has 48 divisors (see below), whose sum is σ = 204560496. Its totient is φ = 33126912.

The previous prime is 90085033. The next prime is 90085063. The reversal of 90085060 is 6058009.

It can be written as a sum of positive squares in 8 ways, for example, as 3818116 + 86266944 = 1954^2 + 9288^2 .

It is not an unprimeable number, because it can be changed into a prime (90085063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81874 + ... + 82966.

It is an arithmetic number, because the mean of its divisors is an integer number (4261677).

Almost surely, 2^90085060 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 90085060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102280248).

90085060 is an abundant number, since it is smaller than the sum of its proper divisors (114475436).

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

90085060 is a wasteful number, since it uses less digits than its factorization.

90085060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 90085060 is about 9491.3149773885. The cubic root of 90085060 is about 448.2816110492.

The spelling of 90085060 in words is "ninety million, eighty-five thousand, sixty".