85874166 has 60 divisors (see below), whose sum is σ = 217167132. Its totient is φ = 24523128.

The previous prime is 85874149. The next prime is 85874179. The reversal of 85874166 is 66147858.

It is a happy number.

85874166 is a `hidden beast` number, since 8 + 587 + 4 + 1 + 66 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42225 + ... + 44211.

Almost surely, 2^85874166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85874166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108583566).

85874166 is an abundant number, since it is smaller than the sum of its proper divisors (131292966).

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

85874166 is a wasteful number, since it uses less digits than its factorization.

85874166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 1999 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 85874166 is about 9266.8314973350. The cubic root of 85874166 is about 441.1851074764.

The spelling of 85874166 in words is "eighty-five million, eight hundred seventy-four thousand, one hundred sixty-six".