84580 has 12 divisors (see below), whose sum is σ = 177660. Its totient is φ = 33824.

The previous prime is 84559. The next prime is 84589. The reversal of 84580 is 8548.

84580 = T₄₄ + T₄₅ + ... + T₈₃.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 19044 = 256^2 + 138^2 .

It is not an unprimeable number, because it can be changed into a prime (84589) by changing a digit.

84580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2095 + ... + 2134.

It is an arithmetic number, because the mean of its divisors is an integer number (14805).

2⁸⁴⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

84580 is an abundant number, since it is smaller than the sum of its proper divisors (93080).

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 (88830).

84580 is a wasteful number, since it uses less digits than its factorization.

84580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 84580 is about 290.8264087046. The cubic root of 84580 is about 43.8957587447.

It can be divided in two parts, 845 and 80, that multiplied together give a square (67600 = 260²).

The spelling of 84580 in words is "eighty-four thousand, five hundred eighty".