84060 has 36 divisors (see below), whose sum is σ = 255528. Its totient is φ = 22368.

The previous prime is 84059. The next prime is 84061. The reversal of 84060 is 6048.

It is an interprime number because it is at equal distance from previous prime (84059) and next prime (84061).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2⁸⁴⁰⁶⁰ 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 84060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

84060 is an abundant number, since it is smaller than the sum of its proper divisors (171468).

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

84060 is a wasteful number, since it uses less digits than its factorization.

84060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 84060 is about 289.9310262804. The cubic root of 84060 is about 43.8056163437.

It can be divided in two parts, 840 and 60, that added together give a square (900 = 30²).

The spelling of 84060 in words is "eighty-four thousand, sixty".