688842 has 72 divisors (see below), whose sum is σ = 1920672. Its totient is φ = 176400.

The previous prime is 688813. The next prime is 688861. The reversal of 688842 is 248886.

It is a junction number, because it is equal to n+sod(n) for n = 688797 and 688806.

It is an unprimeable number.

688842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9667 + ... + 9737.

It is an arithmetic number, because the mean of its divisors is an integer number (26676).

2⁶⁸⁸⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960336).

688842 is an abundant number, since it is smaller than the sum of its proper divisors (1231830).

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

688842 is a wasteful number, since it uses less digits than its factorization.

688842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 688842 is about 829.9650595055. The cubic root of 688842 is about 88.3160980574.

It can be divided in two parts, 68884 and 2, that added together give a palindrome (68886).

The spelling of 688842 in words is "six hundred eighty-eight thousand, eight hundred forty-two".