866712 has 96 divisors (see below), whose sum is σ = 2790720. Its totient is φ = 221760.

The previous prime is 866707. The next prime is 866713. The reversal of 866712 is 217668.

It is a happy number.

866712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 866712.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 866712.

It is not an unprimeable number, because it can be changed into a prime (866713) by changing a digit.

866712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12903 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2⁸⁶⁶⁷¹² 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 866712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360).

866712 is an abundant number, since it is smaller than the sum of its proper divisors (1924008).

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

866712 is a wasteful number, since it uses less digits than its factorization.

866712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 866712 is about 930.9736838386. The cubic root of 866712 is about 95.3436125429.

The spelling of 866712 in words is "eight hundred sixty-six thousand, seven hundred twelve".