It is a tau number, because it is divible by the number of its divisors (64).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
84864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
284864 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 84864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84864 is a wasteful number, since it uses less digits than its factorization.
84864 is an evil number, because the sum of its binary digits is even.
The square root of 84864 is about 291.3142632965. The cubic root of 84864 is about 43.9448344457.
The spelling of 84864 in words is "eighty-four thousand, eight hundred sixty-four".