687216 has 40 divisors (see below), whose sum is σ = 1805440. Its totient is φ = 225216.

The previous prime is 687179. The next prime is 687223. The reversal of 687216 is 612786.

It is a happy number.

687216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687216.

It is an unprimeable number.

687216 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 7 ways as a sum of consecutive naturals, for example, 4875 + ... + 5013.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2⁶⁸⁷²¹⁶ 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 687216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902720).

687216 is an abundant number, since it is smaller than the sum of its proper divisors (1118224).

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

687216 is a wasteful number, since it uses less digits than its factorization.

687216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 687216 is about 828.9849214551. The cubic root of 687216 is about 88.2465537526.

It can be divided in two parts, 687 and 216, that added together give a triangular number (903 = T₄₂).

The spelling of 687216 in words is "six hundred eighty-seven thousand, two hundred sixteen".