85166700 has 72 divisors (see below), whose sum is σ = 257150208. Its totient is φ = 21721920.

The previous prime is 85166693. The next prime is 85166713. The reversal of 85166700 is 766158.

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, 729 + ... + 13071.

Almost surely, 2^85166700 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 85166700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128575104).

85166700 is an abundant number, since it is smaller than the sum of its proper divisors (171983508).

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

85166700 is a wasteful number, since it uses less digits than its factorization.

85166700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12383 (or 12376 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85166700 is about 9228.5806059220. The cubic root of 85166700 is about 439.9702114820.

The spelling of 85166700 in words is "eighty-five million, one hundred sixty-six thousand, seven hundred".