860112 has 80 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 259200.

The previous prime is 860107. The next prime is 860113. The reversal of 860112 is 211068.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 860112.

It is not an unprimeable number, because it can be changed into a prime (860113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4662 + ... + 4842.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁸⁶⁰¹¹² 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 860112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

860112 is an abundant number, since it is smaller than the sum of its proper divisors (1848048).

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

860112 is a wasteful number, since it uses less digits than its factorization.

860112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 860112 is about 927.4222339366. The cubic root of 860112 is about 95.1009821869.

Subtracting from 860112 its product of nonzero digits (96), we obtain a triangular number (860016 = T₁₃₁₁).

The spelling of 860112 in words is "eight hundred sixty thousand, one hundred twelve".