83580 has 48 divisors (see below), whose sum is σ = 268800. Its totient is φ = 19008.

The previous prime is 83579. The next prime is 83591. The reversal of 83580 is 8538.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83580.

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, 321 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2⁸³⁵⁸⁰ 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 83580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

83580 is an abundant number, since it is smaller than the sum of its proper divisors (185220).

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

83580 is a wasteful number, since it uses less digits than its factorization.

83580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83580 is about 289.1020581041. The cubic root of 83580 is about 43.7220774208.

The spelling of 83580 in words is "eighty-three thousand, five hundred eighty".