89984 has 32 divisors (see below), whose sum is σ = 193800. Its totient is φ = 41472.

The previous prime is 89983. The next prime is 89989. The reversal of 89984 is 48998.

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

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89984.

It is not an unprimeable number, because it can be changed into a prime (89983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2414 + ... + 2450.

2⁸⁹⁹⁸⁴ 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 89984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96900).

89984 is an abundant number, since it is smaller than the sum of its proper divisors (103816).

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

89984 is a wasteful number, since it uses less digits than its factorization.

89984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 89984 is about 299.9733321480. The cubic root of 89984 is about 44.8113916609.

The spelling of 89984 in words is "eighty-nine thousand, nine hundred eighty-four".