84360 has 64 divisors (see below), whose sum is σ = 273600. Its totient is φ = 20736.

The previous prime is 84349. The next prime is 84377. The reversal of 84360 is 6348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262 + ... + 2298.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2⁸⁴³⁶⁰ 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 84360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

84360 is an abundant number, since it is smaller than the sum of its proper divisors (189240).

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

84360 is a wasteful number, since it uses less digits than its factorization.

84360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 84360 is about 290.4479299289. The cubic root of 84360 is about 43.8576667923.

It can be divided in two parts, 843 and 60, that added together give a triangular number (903 = T₄₂).

The spelling of 84360 in words is "eighty-four thousand, three hundred sixty".