685848960 has 384 divisors, whose sum is σ = 2566287360. Its totient is φ = 168284160.

The previous prime is 685848907. The next prime is 685849009. The reversal of 685848960 is 69848586.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 685848897 and 685848906.

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, 4106797 + ... + 4106963.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^685848960 is an apocalyptic number.

685848960 is a gapful number since it is divisible by the number (60) 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 685848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

685848960 is an abundant number, since it is smaller than the sum of its proper divisors (1880438400).

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

685848960 is a wasteful number, since it uses less digits than its factorization.

685848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 685848960 is about 26188.7181816904. The cubic root of 685848960 is about 881.8800028028.

The spelling of 685848960 in words is "six hundred eighty-five million, eight hundred forty-eight thousand, nine hundred sixty".