84064 has 24 divisors (see below), whose sum is σ = 172368. Its totient is φ = 40320.

The previous prime is 84061. The next prime is 84067. The reversal of 84064 is 46048.

It is an interprime number because it is at equal distance from previous prime (84061) and next prime (84067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1149 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁸⁴⁰⁶⁴ 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 84064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

84064 is an abundant number, since it is smaller than the sum of its proper divisors (88304).

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

84064 is a wasteful number, since it uses less digits than its factorization.

84064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 84064 is about 289.9379243907. The cubic root of 84064 is about 43.8063111636.

The spelling of 84064 in words is "eighty-four thousand, sixty-four".