685600960 has 224 divisors, whose sum is σ = 1886736384. Its totient is φ = 235008000.

The previous prime is 685600913. The next prime is 685600961. The reversal of 685600960 is 69006586.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (685600961) 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 31 ways as a sum of consecutive naturals, for example, 6656269 + ... + 6656371.

Almost surely, 2^685600960 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 685600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943368192).

685600960 is an abundant number, since it is smaller than the sum of its proper divisors (1201135424).

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

685600960 is a wasteful number, since it uses less digits than its factorization.

685600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 685600960 is about 26183.9828903091. The cubic root of 685600960 is about 881.7736953309.

The spelling of 685600960 in words is "six hundred eighty-five million, six hundred thousand, nine hundred sixty".