686513856 has 112 divisors (see below), whose sum is σ = 2198071296. Its totient is φ = 184602624.

The previous prime is 686513851. The next prime is 686513899. The reversal of 686513856 is 658315686.

686513856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (686513851) 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, 7825 + ... + 37871.

Almost surely, 2^686513856 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 686513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099035648).

686513856 is an abundant number, since it is smaller than the sum of its proper divisors (1511557440).

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

686513856 is a wasteful number, since it uses less digits than its factorization.

686513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30086 (or 30076 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 686513856 is about 26201.4094277388. The cubic root of 686513856 is about 882.1648901667.

The spelling of 686513856 in words is "six hundred eighty-six million, five hundred thirteen thousand, eight hundred fifty-six".