1689984 has 80 divisors (see below), whose sum is σ = 5060220. Its totient is φ = 559872.

The previous prime is 1689967. The next prime is 1690009. The reversal of 1689984 is 4899861.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10287 + ... + 10449.

2^1689984 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 1689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530110).

1689984 is an abundant number, since it is smaller than the sum of its proper divisors (3370236).

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

1689984 is an equidigital number, since it uses as much as digits as its factorization.

1689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1689984 is about 1299.9938461393. The cubic root of 1689984 is about 119.1134666168.

It can be divided in two parts, 16 and 89984, that added together give a square (90000 = 300²).

The spelling of 1689984 in words is "one million, six hundred eighty-nine thousand, nine hundred eighty-four".