1685975760 has 360 divisors, whose sum is σ = 6665942400. Its totient is φ = 374077440.

The previous prime is 1685975747. The next prime is 1685975779. The reversal of 1685975760 is 675795861.

1685975760 is a `hidden beast` number, since 1 + 68 + 5 + 9 + 7 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 1685975697 and 1685975706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8472141 + ... + 8472339.

Almost surely, 2^1685975760 is an apocalyptic number.

1685975760 is a gapful number since it is divisible by the number (10) 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 1685975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332971200).

1685975760 is an abundant number, since it is smaller than the sum of its proper divisors (4979966640).

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

1685975760 is a wasteful number, since it uses less digits than its factorization.

1685975760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 1685975760 is about 41060.6351631340. The cubic root of 1685975760 is about 1190.1922246735.

The spelling of 1685975760 in words is "one billion, six hundred eighty-five million, nine hundred seventy-five thousand, seven hundred sixty".