684112 has 60 divisors (see below), whose sum is σ = 1633824. Its totient is φ = 274560.

The previous prime is 684109. The next prime is 684113. The reversal of 684112 is 211486.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29733 + ... + 29755.

2⁶⁸⁴¹¹² 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 684112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816912).

684112 is an abundant number, since it is smaller than the sum of its proper divisors (949712).

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

684112 is a wasteful number, since it uses less digits than its factorization.

684112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 684112 is about 827.1106334705. The cubic root of 684112 is about 88.1134899375.

Adding to 684112 its reverse (211486), we get a palindrome (895598).

The spelling of 684112 in words is "six hundred eighty-four thousand, one hundred twelve".