1687681216 has 112 divisors (see below), whose sum is σ = 3770071200. Its totient is φ = 744210432.

The previous prime is 1687681201. The next prime is 1687681267. The reversal of 1687681216 is 6121867861.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2726155 + ... + 2726773.

It is an arithmetic number, because the mean of its divisors is an integer number (33661350).

Almost surely, 2^1687681216 is an apocalyptic number.

1687681216 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 1687681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885035600).

1687681216 is an abundant number, since it is smaller than the sum of its proper divisors (2082389984).

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

1687681216 is a wasteful number, since it uses less digits than its factorization.

1687681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 776 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The square root of 1687681216 is about 41081.3974445855. The cubic root of 1687681216 is about 1190.5934041128.

The spelling of 1687681216 in words is "one billion, six hundred eighty-seven million, six hundred eighty-one thousand, two hundred sixteen".