15580 has 24 divisors (see below), whose sum is σ = 35280. Its totient is φ = 5760.

The previous prime is 15569. The next prime is 15581. The reversal of 15580 is 8551.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15581) 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, 360 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

2¹⁵⁵⁸⁰ is an apocalyptic number.

15580 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 15580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

15580 is an abundant number, since it is smaller than the sum of its proper divisors (19700).

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

15580 is a wasteful number, since it uses less digits than its factorization.

15580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 15580 is about 124.8198702130. The cubic root of 15580 is about 24.9759769231.

15580 divided by its sum of digits (19) gives a triangular number (820 = T₄₀).

It can be divided in two parts, 15 and 580, that added together give a palindrome (595).

The spelling of 15580 in words is "fifteen thousand, five hundred eighty".