686642112 has 168 divisors, whose sum is σ = 2141835696. Its totient is φ = 209055744.

The previous prime is 686642111. The next prime is 686642123. The reversal of 686642112 is 211246686.

686642112 is a `hidden beast` number, since 6 + 8 + 6 + 642 + 1 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686642111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800788 + ... + 801644.

It is an arithmetic number, because the mean of its divisors is an integer number (12749022).

Almost surely, 2^686642112 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 686642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070917848).

686642112 is an abundant number, since it is smaller than the sum of its proper divisors (1455193584).

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

686642112 is a wasteful number, since it uses less digits than its factorization.

686642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 686642112 is about 26203.8568153621. The cubic root of 686642112 is about 882.2198227287.

Adding to 686642112 its reverse (211246686), we get a palindrome (897888798).

The spelling of 686642112 in words is "six hundred eighty-six million, six hundred forty-two thousand, one hundred twelve".