689360 has 40 divisors (see below), whose sum is σ = 1833216. Its totient is φ = 236160.

The previous prime is 689357. The next prime is 689369. The reversal of 689360 is 63986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689369) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56 + ... + 1175.

2⁶⁸⁹³⁶⁰ 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 689360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916608).

689360 is an abundant number, since it is smaller than the sum of its proper divisors (1143856).

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

689360 is a wasteful number, since it uses less digits than its factorization.

689360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 689360 is about 830.2770621907. The cubic root of 689360 is about 88.3382300201.

The spelling of 689360 in words is "six hundred eighty-nine thousand, three hundred sixty".