689832 has 96 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 190080.

The previous prime is 689831. The next prime is 689851. The reversal of 689832 is 238986.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (689831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10263 + ... + 10329.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2⁶⁸⁹⁸³² 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 689832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

689832 is an abundant number, since it is smaller than the sum of its proper divisors (1537848).

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

689832 is a wasteful number, since it uses less digits than its factorization.

689832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 689832 is about 830.5612560191. The cubic root of 689832 is about 88.3583869443.

It can be divided in two parts, 689 and 832, that added together give a square (1521 = 39²).

The spelling of 689832 in words is "six hundred eighty-nine thousand, eight hundred thirty-two".