1686016 has 40 divisors (see below), whose sum is σ = 3498660. Its totient is φ = 811008.

The previous prime is 1685989. The next prime is 1686017. The reversal of 1686016 is 6106861.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 6400 = 1296^2 + 80^2 .

It is not an unprimeable number, because it can be changed into a prime (1686017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18900 + ... + 18988.

2^1686016 is an apocalyptic number.

1686016 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 1686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749330).

1686016 is an abundant number, since it is smaller than the sum of its proper divisors (1812644).

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

1686016 is an frugal number, since it uses more digits than its factorization.

1686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1686016 is about 1298.4667881775. The cubic root of 1686016 is about 119.0201693563.

The spelling of 1686016 in words is "one million, six hundred eighty-six thousand, sixteen".