85712116 has 48 divisors (see below), whose sum is σ = 181350400. Its totient is φ = 34626528.

The previous prime is 85712111. The next prime is 85712129. The reversal of 85712116 is 61121758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85712111) 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, 195025 + ... + 195463.

Almost surely, 2^85712116 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 85712116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90675200).

85712116 is an abundant number, since it is smaller than the sum of its proper divisors (95638284).

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

85712116 is a wasteful number, since it uses less digits than its factorization.

85712116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its digits is 3360, while the sum is 31.

The square root of 85712116 is about 9258.0838190200. The cubic root of 85712116 is about 440.9074179668.

The spelling of 85712116 in words is "eighty-five million, seven hundred twelve thousand, one hundred sixteen".