686611008 has 84 divisors (see below), whose sum is σ = 1988497420. Its totient is φ = 226492416.

The previous prime is 686611007. The next prime is 686611061. The reversal of 686611008 is 800116686.

It can be written as a sum of positive squares in 2 ways, for example, as 437981184 + 248629824 = 20928^2 + 15768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686611007) 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 11 ways as a sum of consecutive naturals, for example, 49728 + ... + 62016.

Almost surely, 2^686611008 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 686611008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994248710).

686611008 is an abundant number, since it is smaller than the sum of its proper divisors (1301886412).

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

686611008 is a wasteful number, since it uses less digits than its factorization.

686611008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 686611008 is about 26203.2633082217. The cubic root of 686611008 is about 882.2065013884.

The spelling of 686611008 in words is "six hundred eighty-six million, six hundred eleven thousand, eight".