85408584 has 16 divisors (see below), whose sum is σ = 213521520. Its totient is φ = 28469520.

The previous prime is 85408579. The next prime is 85408633. The reversal of 85408584 is 48580458.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1779322 + ... + 1779369.

It is an arithmetic number, because the mean of its divisors is an integer number (13345095).

Almost surely, 2^85408584 is an apocalyptic number.

It is an amenable number.

85408584 is an abundant number, since it is smaller than the sum of its proper divisors (128112936).

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

85408584 is a wasteful number, since it uses less digits than its factorization.

85408584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558700 (or 3558696 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 85408584 is about 9241.6764712903. The cubic root of 85408584 is about 440.3863411154.

The spelling of 85408584 in words is "eighty-five million, four hundred eight thousand, five hundred eighty-four".