20580 has 48 divisors (see below), whose sum is σ = 67200. Its totient is φ = 4704.

The previous prime is 20563. The next prime is 20593. The reversal of 20580 is 8502.

20580 = T₃₅ + T₃₆ + ... + T₅₄.

20580 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

20580 is strictly pandigital in base 6.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 35 × 21 × 28.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2²⁰⁵⁸⁰ is an apocalyptic number.

20580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

20580 is an abundant number, since it is smaller than the sum of its proper divisors (46620).

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

20580 is a wasteful number, since it uses less digits than its factorization.

20580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20580 is about 143.4573107234. The cubic root of 20580 is about 27.4040734882.

The spelling of 20580 in words is "twenty thousand, five hundred eighty".