840112 has 40 divisors (see below), whose sum is σ = 2006816. Its totient is φ = 331776.

The previous prime is 840109. The next prime is 840137. The reversal of 840112 is 211048.

It is a happy number.

It is a super-3 number, since 3×840112³ = 1778823339636854784, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1168 + ... + 1744.

2⁸⁴⁰¹¹² 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 840112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003408).

840112 is an abundant number, since it is smaller than the sum of its proper divisors (1166704).

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

840112 is a wasteful number, since it uses less digits than its factorization.

840112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 840112 is about 916.5762379639. The cubic root of 840112 is about 94.3580729257.

Subtracting from 840112 its product of nonzero digits (64), we obtain a palindrome (840048).

The spelling of 840112 in words is "eight hundred forty thousand, one hundred twelve".