689300 has 36 divisors (see below), whose sum is σ = 1533756. Its totient is φ = 268800.

The previous prime is 689291. The next prime is 689309. The reversal of 689300 is 3986.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (689291) and next prime (689309).

It can be written as a sum of positive squares in 6 ways, for example, as 334084 + 355216 = 578^2 + 596^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 689300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689309) by changing a digit.

689300 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6044 + ... + 6156.

2⁶⁸⁹³⁰⁰ 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 689300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766878).

689300 is an abundant number, since it is smaller than the sum of its proper divisors (844456).

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

689300 is a wasteful number, since it uses less digits than its factorization.

689300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 689300 is about 830.2409288875. The cubic root of 689300 is about 88.3356670401.

It can be divided in two parts, 689 and 300, that added together give a palindrome (989).

The spelling of 689300 in words is "six hundred eighty-nine thousand, three hundred".