686468160 has 336 divisors, whose sum is σ = 2858633856. Its totient is φ = 147603456.

The previous prime is 686468149. The next prime is 686468161. The reversal of 686468160 is 61864686.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (686468161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341719 + ... + 343721.

Almost surely, 2^686468160 is an apocalyptic number.

686468160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429316928).

686468160 is an abundant number, since it is smaller than the sum of its proper divisors (2172165696).

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

686468160 is a wasteful number, since it uses less digits than its factorization.

686468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 686468160 is about 26200.5373990687. The cubic root of 686468160 is about 882.1453167325.

The spelling of 686468160 in words is "six hundred eighty-six million, four hundred sixty-eight thousand, one hundred sixty".