689910 has 64 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 161280.

The previous prime is 689903. The next prime is 689917. The reversal of 689910 is 19986.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (689903) and next prime (689917).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689917) by changing a digit.

689910 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11280 + ... + 11340.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁶⁸⁹⁹¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

689910 is an abundant number, since it is smaller than the sum of its proper divisors (1184970).

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

689910 is a wasteful number, since it uses less digits than its factorization.

689910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 689910 is about 830.6082108913. The cubic root of 689910 is about 88.3617170761.

The spelling of 689910 in words is "six hundred eighty-nine thousand, nine hundred ten".