90385605 has 32 divisors (see below), whose sum is σ = 166233600. Its totient is φ = 46541376.

The previous prime is 90385573. The next prime is 90385609. The reversal of 90385605 is 50658309.

90385605 is a `hidden beast` number, since 90 + 3 + 8 + 560 + 5 = 666.

It is not a de Polignac number, because 90385605 - 2⁵ = 90385573 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90385605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90385609) 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 31 ways as a sum of consecutive naturals, for example, 7629 + ... + 15458.

It is an arithmetic number, because the mean of its divisors is an integer number (5194800).

Almost surely, 2^90385605 is an apocalyptic number.

It is an amenable number.

90385605 is a deficient number, since it is larger than the sum of its proper divisors (75847995).

90385605 is a wasteful number, since it uses less digits than its factorization.

90385605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23130 (or 23124 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90385605 is about 9507.1344263137. The cubic root of 90385605 is about 448.7795820589.

The spelling of 90385605 in words is "ninety million, three hundred eighty-five thousand, six hundred five".