866112 has 56 divisors (see below), whose sum is σ = 2474976. Its totient is φ = 265728.

The previous prime is 866101. The next prime is 866119. The reversal of 866112 is 211668.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866119) by changing a digit.

866112 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 7 ways as a sum of consecutive naturals, for example, 2323 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (44196).

2⁸⁶⁶¹¹² 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 866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237488).

866112 is an abundant number, since it is smaller than the sum of its proper divisors (1608864).

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

866112 is a wasteful number, since it uses less digits than its factorization.

866112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 866112 is about 930.6513847838. The cubic root of 866112 is about 95.3216062427.

The spelling of 866112 in words is "eight hundred sixty-six thousand, one hundred twelve".