686378304 has 84 divisors (see below), whose sum is σ = 1970996820. Its totient is φ = 228372480.

The previous prime is 686378269. The next prime is 686378309. The reversal of 686378304 is 403873686.

686378304 is a `hidden beast` number, since 6 + 8 + 637 + 8 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 443018304 + 243360000 = 21048^2 + 15600^2 .

It is a super-2 number, since 2×686378304² = 942230352403832832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 686378304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686378309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580594 + ... + 581774.

Almost surely, 2^686378304 is an apocalyptic number.

686378304 is a gapful number since it is divisible by the number (64) 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 686378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985498410).

686378304 is an abundant number, since it is smaller than the sum of its proper divisors (1284618516).

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

686378304 is a wasteful number, since it uses less digits than its factorization.

686378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 686378304 is about 26198.8225689629. The cubic root of 686378304 is about 882.1068252612.

The spelling of 686378304 in words is "six hundred eighty-six million, three hundred seventy-eight thousand, three hundred four".