85861188 has 96 divisors (see below), whose sum is σ = 256569600. Its totient is φ = 24323328.

The previous prime is 85861183. The next prime is 85861189. The reversal of 85861188 is 88116858.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85861183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103158 + ... + 103986.

It is an arithmetic number, because the mean of its divisors is an integer number (2672600).

Almost surely, 2^85861188 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 85861188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128284800).

85861188 is an abundant number, since it is smaller than the sum of its proper divisors (170708412).

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

85861188 is a wasteful number, since it uses less digits than its factorization.

85861188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The square root of 85861188 is about 9266.1312315335. The cubic root of 85861188 is about 441.1628812002.

The spelling of 85861188 in words is "eighty-five million, eight hundred sixty-one thousand, one hundred eighty-eight".