1689128 has 48 divisors (see below), whose sum is σ = 3830400. Its totient is φ = 695520.

The previous prime is 1689113. The next prime is 1689167. The reversal of 1689128 is 8219861.

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, 12083 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

2^1689128 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 1689128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915200).

1689128 is an abundant number, since it is smaller than the sum of its proper divisors (2141272).

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

1689128 is a wasteful number, since it uses less digits than its factorization.

1689128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 6912, while the sum is 35.

The square root of 1689128 is about 1299.6645721108. The cubic root of 1689128 is about 119.0933523539.

The spelling of 1689128 in words is "one million, six hundred eighty-nine thousand, one hundred twenty-eight".