689080 has 64 divisors (see below), whose sum is σ = 1866240. Its totient is φ = 223872.

The previous prime is 689077. The next prime is 689081. The reversal of 689080 is 80986.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6387 + ... + 6493.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2⁶⁸⁹⁰⁸⁰ 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 689080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933120).

689080 is an abundant number, since it is smaller than the sum of its proper divisors (1177160).

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

689080 is a wasteful number, since it uses less digits than its factorization.

689080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 689080 is about 830.1084266528. The cubic root of 689080 is about 88.3262681743.

The spelling of 689080 in words is "six hundred eighty-nine thousand, eighty".