689136 has 60 divisors (see below), whose sum is σ = 2077992. Its totient is φ = 196224.

The previous prime is 689131. The next prime is 689141. The reversal of 689136 is 631986.

It is an interprime number because it is at equal distance from previous prime (689131) and next prime (689141).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 689097 and 689106.

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 689136.

It is not an unprimeable number, because it can be changed into a prime (689131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2206 + ... + 2498.

2⁶⁸⁹¹³⁶ 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 689136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038996).

689136 is an abundant number, since it is smaller than the sum of its proper divisors (1388856).

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

689136 is a wasteful number, since it uses less digits than its factorization.

689136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 689136 is about 830.1421565009. The cubic root of 689136 is about 88.3286608026.

The spelling of 689136 in words is "six hundred eighty-nine thousand, one hundred thirty-six".