15980 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 5888.

The previous prime is 15973. The next prime is 15991. The reversal of 15980 is 8951.

15980 is an undulating number in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15980.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹⁵⁹⁸⁰ is an apocalyptic number.

15980 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 15980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

15980 is an abundant number, since it is smaller than the sum of its proper divisors (20308).

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

15980 is a wasteful number, since it uses less digits than its factorization.

15980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

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

The square root of 15980 is about 126.4120247445. The cubic root of 15980 is about 25.1879172780.

It can be divided in two parts, 159 and 80, that multiplied together give a triangular number (12720 = T₁₅₉).

The spelling of 15980 in words is "fifteen thousand, nine hundred eighty".