686838880 has 288 divisors, whose sum is σ = 2128400064. Its totient is φ = 207212544.

The previous prime is 686838869. The next prime is 686838937. The reversal of 686838880 is 88838686.

686838880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344014 + ... + 2344306.

It is an arithmetic number, because the mean of its divisors is an integer number (7390278).

Almost surely, 2^686838880 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 686838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064200032).

686838880 is an abundant number, since it is smaller than the sum of its proper divisors (1441561184).

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

686838880 is a wasteful number, since it uses less digits than its factorization.

686838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The square root of 686838880 is about 26207.6111082258. The cubic root of 686838880 is about 882.3040859608.

The spelling of 686838880 in words is "six hundred eighty-six million, eight hundred thirty-eight thousand, eight hundred eighty".