85988166 has 48 divisors (see below), whose sum is σ = 191443392. Its totient is φ = 25725040.

The previous prime is 85988153. The next prime is 85988209. The reversal of 85988166 is 66188958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59545 + ... + 60971.

It is an arithmetic number, because the mean of its divisors is an integer number (3988404).

Almost surely, 2^85988166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85988166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95721696).

85988166 is an abundant number, since it is smaller than the sum of its proper divisors (105455226).

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

85988166 is a wasteful number, since it uses less digits than its factorization.

85988166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1526 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 85988166 is about 9272.9804270256. The cubic root of 85988166 is about 441.3802490617.

The spelling of 85988166 in words is "eighty-five million, nine hundred eighty-eight thousand, one hundred sixty-six".