686336 has 36 divisors (see below), whose sum is σ = 1569792. Its totient is φ = 293376.

The previous prime is 686333. The next prime is 686339. The reversal of 686336 is 633686.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (686333) and next prime (686339).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (686333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1601 + ... + 1983.

2⁶⁸⁶³³⁶ 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 686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784896).

686336 is an abundant number, since it is smaller than the sum of its proper divisors (883456).

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

686336 is an equidigital number, since it uses as much as digits as its factorization.

686336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 686336 is about 828.4539818240. The cubic root of 686336 is about 88.2088702401.

Subtracting from 686336 its reverse (633686), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 686336 in words is "six hundred eighty-six thousand, three hundred thirty-six".