1687168 has 48 divisors (see below), whose sum is σ = 3924450. Its totient is φ = 720384.

The previous prime is 1687157. The next prime is 1687171. The reversal of 1687168 is 8617861.

It can be written as a sum of positive squares in only one way, i.e., 1658944 + 28224 = 1288^2 + 168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6138 + ... + 6406.

2^1687168 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 1687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962225).

1687168 is an abundant number, since it is smaller than the sum of its proper divisors (2237282).

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

1687168 is an equidigital number, since it uses as much as digits as its factorization.

1687168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 1687168 is about 1298.9103125312. The cubic root of 1687168 is about 119.0472707241.

The spelling of 1687168 in words is "one million, six hundred eighty-seven thousand, one hundred sixty-eight".