85581306 has 32 divisors (see below), whose sum is σ = 190494720. Its totient is φ = 28480032.

The previous prime is 85581289. The next prime is 85581317. The reversal of 85581306 is 60318558.

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 15 ways as a sum of consecutive naturals, for example, 50631 + ... + 52293.

It is an arithmetic number, because the mean of its divisors is an integer number (5952960).

Almost surely, 2^85581306 is an apocalyptic number.

85581306 is an abundant number, since it is smaller than the sum of its proper divisors (104913414).

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

85581306 is a wasteful number, since it uses less digits than its factorization.

85581306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85581306 is about 9251.0164846897. The cubic root of 85581306 is about 440.6830060348.

The spelling of 85581306 in words is "eighty-five million, five hundred eighty-one thousand, three hundred six".