689920 has 108 divisors (see below), whose sum is σ = 2097144. Its totient is φ = 215040.

The previous prime is 689917. The next prime is 689921. The reversal of 689920 is 29986.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689921) 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, 62715 + ... + 62725.

It is an arithmetic number, because the mean of its divisors is an integer number (19418).

2⁶⁸⁹⁹²⁰ 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 689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048572).

689920 is an abundant number, since it is smaller than the sum of its proper divisors (1407224).

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

689920 is a wasteful number, since it uses less digits than its factorization.

689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 689920 is about 830.6142305547. The cubic root of 689920 is about 88.3621439980.

The spelling of 689920 in words is "six hundred eighty-nine thousand, nine hundred twenty".