1686807360 has 252 divisors, whose sum is σ = 6749730468. Its totient is φ = 385523712.

The previous prime is 1686807349. The next prime is 1686807377. The reversal of 1686807360 is 637086861.

It can be written as a sum of positive squares in 2 ways, for example, as 1117698624 + 569108736 = 33432^2 + 23856^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 135144 + ... + 147096.

Almost surely, 2^1686807360 is an apocalyptic number.

1686807360 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 1686807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374865234).

1686807360 is an abundant number, since it is smaller than the sum of its proper divisors (5062923108).

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

1686807360 is a wasteful number, since it uses less digits than its factorization.

1686807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1686807360 is about 41070.7604020184. The cubic root of 1686807360 is about 1190.3878781717.

The spelling of 1686807360 in words is "one billion, six hundred eighty-six million, eight hundred seven thousand, three hundred sixty".