19580 has 24 divisors (see below), whose sum is σ = 45360. Its totient is φ = 7040.

The previous prime is 19577. The next prime is 19583. The reversal of 19580 is 8591.

19580 = T₅ + T₆ + ... + T₄₈.

It is an interprime number because it is at equal distance from previous prime (19577) and next prime (19583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹⁹⁵⁸⁰ is an apocalyptic number.

19580 is a gapful number since it is divisible by the number (10) 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 19580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

19580 is an abundant number, since it is smaller than the sum of its proper divisors (25780).

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

19580 is a wasteful number, since it uses less digits than its factorization.

19580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 19580 is about 139.9285531977. The cubic root of 19580 is about 26.9528211301.

The spelling of 19580 in words is "nineteen thousand, five hundred eighty".