686384688 has 160 divisors (see below), whose sum is σ = 1994943744. Its totient is φ = 201600000.

The previous prime is 686384651. The next prime is 686384693. The reversal of 686384688 is 886483686.

It is a super-2 number, since 2×686384688² = 942247879841714688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 3252903 + ... + 3253113.

Almost surely, 2^686384688 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 686384688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997471872).

686384688 is an abundant number, since it is smaller than the sum of its proper divisors (1308559056).

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

686384688 is a wasteful number, since it uses less digits than its factorization.

686384688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The square root of 686384688 is about 26198.9444062161. The cubic root of 686384688 is about 882.1095600760.

The spelling of 686384688 in words is "six hundred eighty-six million, three hundred eighty-four thousand, six hundred eighty-eight".