90168085 has 24 divisors (see below), whose sum is σ = 133277400. Its totient is φ = 58189824.

The previous prime is 90168079. The next prime is 90168103. The reversal of 90168085 is 58086109.

It can be written as a sum of positive squares in 4 ways, for example, as 13972644 + 76195441 = 3738^2 + 8729^2 .

It is not a de Polignac number, because 90168085 - 2¹³ = 90159893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6660 + ... + 14989.

It is an arithmetic number, because the mean of its divisors is an integer number (5553225).

Almost surely, 2^90168085 is an apocalyptic number.

It is an amenable number.

90168085 is a deficient number, since it is larger than the sum of its proper divisors (43109315).

90168085 is a wasteful number, since it uses less digits than its factorization.

90168085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21685 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 90168085 is about 9495.6877054798. The cubic root of 90168085 is about 448.4192852011.

It can be divided in two parts, 901 and 68085, that added together give a palindrome (68986).

The spelling of 90168085 in words is "ninety million, one hundred sixty-eight thousand, eighty-five".