84020 has 12 divisors (see below), whose sum is σ = 176484. Its totient is φ = 33600.

The previous prime is 84017. The next prime is 84047. The reversal of 84020 is 2048.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 68644 = 124^2 + 262^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83986 and 84004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2081 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (14707).

2⁸⁴⁰²⁰ is an apocalyptic number.

It is an amenable number.

84020 is an abundant number, since it is smaller than the sum of its proper divisors (92464).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88242).

84020 is a wasteful number, since it uses less digits than its factorization.

84020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 84020 is about 289.8620361482. The cubic root of 84020 is about 43.7986669319.

Adding to 84020 its reverse (2048), we get a palindrome (86068).

The spelling of 84020 in words is "eighty-four thousand, twenty".