2003688 has 48 divisors (see below), whose sum is σ = 5749380. Its totient is φ = 628224.

The previous prime is 2003681. The next prime is 2003723. The reversal of 2003688 is 8863002.

It can be written as a sum of positive squares in 2 ways, for example, as 1954404 + 49284 = 1398^2 + 222^2 .

It is not an unprimeable number, because it can be changed into a prime (2003681) 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 11 ways as a sum of consecutive naturals, for example, 406 + ... + 2042.

2^2003688 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 2003688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874690).

2003688 is an abundant number, since it is smaller than the sum of its proper divisors (3745692).

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

2003688 is a wasteful number, since it uses less digits than its factorization.

2003688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2003688 is about 1415.5168667310. The cubic root of 2003688 is about 126.0695005837.

The spelling of 2003688 in words is "two million, three thousand, six hundred eighty-eight".