90585258 has 16 divisors (see below), whose sum is σ = 181971360. Its totient is φ = 30061616.

The previous prime is 90585239. The next prime is 90585259. The reversal of 90585258 is 85258509.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (90585259) 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 7 ways as a sum of consecutive naturals, for example, 31893 + ... + 34616.

It is an arithmetic number, because the mean of its divisors is an integer number (11373210).

Almost surely, 2^90585258 is an apocalyptic number.

90585258 is an abundant number, since it is smaller than the sum of its proper divisors (91386102).

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

90585258 is a wasteful number, since it uses less digits than its factorization.

90585258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66741.

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 90585258 is about 9517.6288013349. The cubic root of 90585258 is about 449.1097758548.

The spelling of 90585258 in words is "ninety million, five hundred eighty-five thousand, two hundred fifty-eight".