1686285216 has 720 divisors, whose sum is σ = 6757515072. Its totient is φ = 406425600.

The previous prime is 1686285179. The next prime is 1686285217. The reversal of 1686285216 is 6125826861.

1686285216 is a `hidden beast` number, since 1 + 6 + 8 + 628 + 5 + 2 + 16 = 666.

Its product of digits (276480) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (1686285217) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23750461 + ... + 23750531.

Almost surely, 2^1686285216 is an apocalyptic number.

1686285216 is a gapful number since it is divisible by the number (16) 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 1686285216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378757536).

1686285216 is an abundant number, since it is smaller than the sum of its proper divisors (5071229856).

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

1686285216 is a wasteful number, since it uses less digits than its factorization.

1686285216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1686285216 is about 41064.4032709596. The cubic root of 1686285216 is about 1190.2650390049.

The spelling of 1686285216 in words is "one billion, six hundred eighty-six million, two hundred eighty-five thousand, two hundred sixteen".