686516304 has 160 divisors (see below), whose sum is σ = 1976123520. Its totient is φ = 204374016.

The previous prime is 686516279. The next prime is 686516317. The reversal of 686516304 is 403615686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585272 + ... + 1585704.

It is an arithmetic number, because the mean of its divisors is an integer number (12350772).

Almost surely, 2^686516304 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 686516304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988061760).

686516304 is an abundant number, since it is smaller than the sum of its proper divisors (1289607216).

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

686516304 is a wasteful number, since it uses less digits than its factorization.

686516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 686516304 is about 26201.4561427414. The cubic root of 686516304 is about 882.1659387190.

The spelling of 686516304 in words is "six hundred eighty-six million, five hundred sixteen thousand, three hundred four".