689128 has 32 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 304000.

The previous prime is 689113. The next prime is 689131. The reversal of 689128 is 821986.

It is a junction number, because it is equal to n+sod(n) for n = 689093 and 689102.

It is an unprimeable number.

689128 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 7 ways as a sum of consecutive naturals, for example, 3513 + ... + 3703.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁶⁸⁹¹²⁸ 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 689128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

689128 is an abundant number, since it is smaller than the sum of its proper divisors (762392).

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

689128 is a wasteful number, since it uses less digits than its factorization.

689128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 689128 is about 830.1373380351. The cubic root of 689128 is about 88.3283190065.

The spelling of 689128 in words is "six hundred eighty-nine thousand, one hundred twenty-eight".