686016 has 56 divisors (see below), whose sum is σ = 2021840. Its totient is φ = 228096.

The previous prime is 686011. The next prime is 686027. The reversal of 686016 is 610686.

686016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (686011) by changing a digit.

686016 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, 1530 + ... + 1926.

2⁶⁸⁶⁰¹⁶ 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 686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010920).

686016 is an abundant number, since it is smaller than the sum of its proper divisors (1335824).

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

686016 is a wasteful number, since it uses less digits than its factorization.

686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 686016 is about 828.2608284834. The cubic root of 686016 is about 88.1951591586.

It can be divided in two parts, 68 and 6016, that added together give a square (6084 = 78²).

The spelling of 686016 in words is "six hundred eighty-six thousand, sixteen".