689112 has 48 divisors (see below), whose sum is σ = 1979640. Its totient is φ = 215808.

The previous prime is 689107. The next prime is 689113. The reversal of 689112 is 211986.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (689113) by changing a digit.

689112 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 11 ways as a sum of consecutive naturals, for example, 943 + ... + 1505.

2⁶⁸⁹¹¹² 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 689112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989820).

689112 is an abundant number, since it is smaller than the sum of its proper divisors (1290528).

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

689112 is a wasteful number, since it uses less digits than its factorization.

689112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 689112 is about 830.1277010195. The cubic root of 689112 is about 88.3276354064.

It can be divided in two parts, 6891 and 12, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 689112 in words is "six hundred eighty-nine thousand, one hundred twelve".