686568960 has 800 divisors, whose sum is σ = 3137156352. Its totient is φ = 139345920.

The previous prime is 686568959. The next prime is 686568973. The reversal of 686568960 is 69865686.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 686568897 and 686568906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15966699 + ... + 15966741.

Almost surely, 2^686568960 is an apocalyptic number.

686568960 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 686568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568578176).

686568960 is an abundant number, since it is smaller than the sum of its proper divisors (2450587392).

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

686568960 is a wasteful number, since it uses less digits than its factorization.

686568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 686568960 is about 26202.4609531242. The cubic root of 686568960 is about 882.1884922703.

The spelling of 686568960 in words is "six hundred eighty-six million, five hundred sixty-eight thousand, nine hundred sixty".