90585189 has 16 divisors (see below), whose sum is σ = 136041600. Its totient is φ = 59561568.

The previous prime is 90585181. The next prime is 90585199. The reversal of 90585189 is 98158509.

It is not a de Polignac number, because 90585189 - 2³ = 90585181 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90585181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21009 + ... + 24950.

It is an arithmetic number, because the mean of its divisors is an integer number (8502600).

Almost surely, 2^90585189 is an apocalyptic number.

It is an amenable number.

90585189 is a deficient number, since it is larger than the sum of its proper divisors (45456411).

90585189 is a wasteful number, since it uses less digits than its factorization.

90585189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46041 (or 46035 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 90585189 is about 9517.6251764818. The cubic root of 90585189 is about 449.1096618238.

The spelling of 90585189 in words is "ninety million, five hundred eighty-five thousand, one hundred eighty-nine".