689688 has 64 divisors (see below), whose sum is σ = 1996800. Its totient is φ = 220320.

The previous prime is 689641. The next prime is 689693. The reversal of 689688 is 886986.

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

It is a nialpdrome in base 15.

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 689688.

It is an unprimeable number.

689688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 6645 + ... + 6747.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2⁶⁸⁹⁶⁸⁸ 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 689688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998400).

689688 is an abundant number, since it is smaller than the sum of its proper divisors (1307112).

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

689688 is a wasteful number, since it uses less digits than its factorization.

689688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 689688 is about 830.4745631264. The cubic root of 689688 is about 88.3522383492.

The spelling of 689688 in words is "six hundred eighty-nine thousand, six hundred eighty-eight".