686415168 has 112 divisors (see below), whose sum is σ = 2031146560. Its totient is φ = 227308032.

The previous prime is 686415161. The next prime is 686415173. The reversal of 686415168 is 861514686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686415161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280446 + ... + 282882.

Almost surely, 2^686415168 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 686415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015573280).

686415168 is an abundant number, since it is smaller than the sum of its proper divisors (1344731392).

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

686415168 is a wasteful number, since it uses less digits than its factorization.

686415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2605 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 686415168 is about 26199.5261025844. The cubic root of 686415168 is about 882.1226170404.

The spelling of 686415168 in words is "six hundred eighty-six million, four hundred fifteen thousand, one hundred sixty-eight".