1689936 has 80 divisors (see below), whose sum is σ = 4910400. Its totient is φ = 497664.

The previous prime is 1689931. The next prime is 1689967. The reversal of 1689936 is 6399861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15450 + ... + 15558.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

2^1689936 is an apocalyptic number.

1689936 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 1689936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455200).

1689936 is an abundant number, since it is smaller than the sum of its proper divisors (3220464).

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

1689936 is a wasteful number, since it uses less digits than its factorization.

1689936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1689936 is about 1299.9753843823. The cubic root of 1689936 is about 119.1123388940.

The spelling of 1689936 in words is "one million, six hundred eighty-nine thousand, nine hundred thirty-six".