686342304 has 144 divisors (see below), whose sum is σ = 2074592520. Its totient is φ = 214824960.

The previous prime is 686342281. The next prime is 686342311. The reversal of 686342304 is 403243686.

It is a happy number.

686342304 is a `hidden beast` number, since 6 + 8 + 6 + 342 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 683717904 + 2624400 = 26148^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307914 + ... + 310134.

Almost surely, 2^686342304 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 686342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037296260).

686342304 is an abundant number, since it is smaller than the sum of its proper divisors (1388250216).

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

686342304 is a wasteful number, since it uses less digits than its factorization.

686342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 686342304 is about 26198.1355061768. The cubic root of 686342304 is about 882.0914030562.

The spelling of 686342304 in words is "six hundred eighty-six million, three hundred forty-two thousand, three hundred four".