84864 has 64 divisors (see below), whose sum is σ = 257040. Its totient is φ = 24576.

The previous prime is 84859. The next prime is 84869. The reversal of 84864 is 46848.

It is an interprime number because it is at equal distance from previous prime (84859) and next prime (84869).

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.

It is not an unprimeable number, because it can be changed into a prime (84869) by changing a digit.

84864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4984 + ... + 5000.

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).

84864 is an abundant number, since it is smaller than the sum of its proper divisors (172176).

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 sum of its prime factors is 47 (or 35 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

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".