889984 has 32 divisors (see below), whose sum is σ = 1881900. Its totient is φ = 417792.

The previous prime is 889963. The next prime is 889997. The reversal of 889984 is 489988.

It can be written as a sum of positive squares in 2 ways, for example, as 760384 + 129600 = 872^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

889984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1972 + ... + 2380.

2⁸⁸⁹⁹⁸⁴ 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 889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940950).

889984 is an abundant number, since it is smaller than the sum of its proper divisors (991916).

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

889984 is a wasteful number, since it uses less digits than its factorization.

889984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 889984 is about 943.3896331845. The cubic root of 889984 is about 96.1894407377.

The spelling of 889984 in words is "eight hundred eighty-nine thousand, nine hundred eighty-four".