1687112 has 32 divisors (see below), whose sum is σ = 3697920. Its totient is φ = 706560.

The previous prime is 1687111. The next prime is 1687117. The reversal of 1687112 is 2117861.

It is not an unprimeable number, because it can be changed into a prime (1687111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2312 + ... + 2952.

It is an arithmetic number, because the mean of its divisors is an integer number (115560).

2^1687112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848960).

1687112 is an abundant number, since it is smaller than the sum of its proper divisors (2010808).

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

1687112 is a wasteful number, since it uses less digits than its factorization.

1687112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its digits is 672, while the sum is 26.

The square root of 1687112 is about 1298.8887558217. Note that the first 3 decimals coincide. The cubic root of 1687112 is about 119.0459535818.

The spelling of 1687112 in words is "one million, six hundred eighty-seven thousand, one hundred twelve".