90090585 has 24 divisors (see below), whose sum is σ = 168170184. Its totient is φ = 44352000.

The previous prime is 90090577. The next prime is 90090629. The reversal of 90090585 is 58509009.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 80946009 = 3024^2 + 8997^2 .

It is not a de Polignac number, because 90090585 - 2³ = 90090577 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76416 + ... + 77585.

It is an arithmetic number, because the mean of its divisors is an integer number (7007091).

Almost surely, 2^90090585 is an apocalyptic number.

It is an amenable number.

90090585 is a deficient number, since it is larger than the sum of its proper divisors (78079599).

90090585 is a wasteful number, since it uses less digits than its factorization.

90090585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154025 (or 154022 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 90090585 is about 9491.6060284864. The cubic root of 90090585 is about 448.2907753703.

The spelling of 90090585 in words is "ninety million, ninety thousand, five hundred eighty-five".