84320 has 48 divisors (see below), whose sum is σ = 217728. Its totient is φ = 30720.

The previous prime is 84319. The next prime is 84347. The reversal of 84320 is 2348.

84320 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2705 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁸⁴³²⁰ is an apocalyptic number.

84320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

84320 is an abundant number, since it is smaller than the sum of its proper divisors (133408).

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

84320 is a wasteful number, since it uses less digits than its factorization.

84320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 84320 is about 290.3790626061. The cubic root of 84320 is about 43.8507338698.

Adding to 84320 its reverse (2348), we get a palindrome (86668).

It can be divided in two parts, 84 and 320, that added together give a palindrome (404).

The spelling of 84320 in words is "eighty-four thousand, three hundred twenty".