85586412 has 48 divisors (see below), whose sum is σ = 217011200. Its totient is φ = 26153280.

The previous prime is 85586359. The next prime is 85586419. The reversal of 85586412 is 21468558.

It is not an unprimeable number, because it can be changed into a prime (85586419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014 + ... + 13122.

Almost surely, 2^85586412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85586412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108505600).

85586412 is an abundant number, since it is smaller than the sum of its proper divisors (131424788).

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

85586412 is a wasteful number, since it uses less digits than its factorization.

85586412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12164 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 85586412 is about 9251.2924502472. The cubic root of 85586412 is about 440.6917699530.

The spelling of 85586412 in words is "eighty-five million, five hundred eighty-six thousand, four hundred twelve".