1687104 has 84 divisors (see below), whose sum is σ = 5052060. Its totient is φ = 537600.

The previous prime is 1687087. The next prime is 1687111. The reversal of 1687104 is 4017861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 360000 = 1152^2 + 600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16654 + ... + 16754.

2^1687104 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 1687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526030).

1687104 is an abundant number, since it is smaller than the sum of its proper divisors (3364956).

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

1687104 is a wasteful number, since it uses less digits than its factorization.

1687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1687104 is about 1298.8856762625. The cubic root of 1687104 is about 119.0457654162.

The spelling of 1687104 in words is "one million, six hundred eighty-seven thousand, one hundred four".