688014 has 40 divisors (see below), whose sum is σ = 1603008. Its totient is φ = 220320.

The previous prime is 688013. The next prime is 688027. The reversal of 688014 is 410886.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4954 + ... + 5090.

2⁶⁸⁸⁰¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801504).

688014 is an abundant number, since it is smaller than the sum of its proper divisors (914994).

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

688014 is a wasteful number, since it uses less digits than its factorization.

688014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 688014 is about 829.4660933396. The cubic root of 688014 is about 88.2806980439.

The spelling of 688014 in words is "six hundred eighty-eight thousand, fourteen".