1689888 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 542976.

The previous prime is 1689881. The next prime is 1689893. The reversal of 1689888 is 8889861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2481 + ... + 3087.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

2^1689888 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 1689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

1689888 is an abundant number, since it is smaller than the sum of its proper divisors (2906592).

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

1689888 is a wasteful number, since it uses less digits than its factorization.

1689888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its digits is 221184, while the sum is 48.

The square root of 1689888 is about 1299.9569223632. The cubic root of 1689888 is about 119.1112111498. Note that the first 3 decimals are identical.

The spelling of 1689888 in words is "one million, six hundred eighty-nine thousand, eight hundred eighty-eight".