686833056 has 288 divisors, whose sum is σ = 2443633920. Its totient is φ = 178163712.

The previous prime is 686833019. The next prime is 686833057. The reversal of 686833056 is 650338686.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (686833057) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1913005 + ... + 1913363.

It is an arithmetic number, because the mean of its divisors is an integer number (8484840).

Almost surely, 2^686833056 is an apocalyptic number.

It is a pronic number, being equal to 26207×26208.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221816960).

686833056 is an abundant number, since it is smaller than the sum of its proper divisors (1756800864).

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

686833056 is a wasteful number, since it uses less digits than its factorization.

686833056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 686833056 is about 26207.4999952304. The cubic root of 686833056 is about 882.3015921428.

The spelling of 686833056 in words is "six hundred eighty-six million, eight hundred thirty-three thousand, fifty-six".