15080 has 32 divisors (see below), whose sum is σ = 37800. Its totient is φ = 5376.

The previous prime is 15077. The next prime is 15083. The reversal of 15080 is 8051.

15080 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (15077) and next prime (15083).

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 5476 = 98^2 + 74^2 .

It is an Ulam number.

15080 is a nontrivial repdigit in base 12.

It is a plaindrome in base 12.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (15083) 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, 506 + ... + 534.

2¹⁵⁰⁸⁰ is an apocalyptic number.

15080 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 15080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900).

15080 is an abundant number, since it is smaller than the sum of its proper divisors (22720).

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

15080 is a wasteful number, since it uses less digits than its factorization.

15080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 15080 is about 122.8006514641. The cubic root of 15080 is about 24.7058867992.

The spelling of 15080 in words is "fifteen thousand, eighty".