84180 has 48 divisors (see below), whose sum is σ = 249984. Its totient is φ = 21120.

The previous prime is 84179. The next prime is 84181. The reversal of 84180 is 8148.

84180 = T₁₉ + T₂₀ + ... + T₇₉.

It is an interprime number because it is at equal distance from previous prime (84179) and next prime (84181).

84180 is a Rhonda number in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁸⁴¹⁸⁰ 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 84180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

84180 is an abundant number, since it is smaller than the sum of its proper divisors (165804).

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

84180 is a wasteful number, since it uses less digits than its factorization.

84180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 84180 is about 290.1378982484. The cubic root of 84180 is about 43.8264513605.

The spelling of 84180 in words is "eighty-four thousand, one hundred eighty".