13760 has 28 divisors (see below), whose sum is σ = 33528. Its totient is φ = 5376.

The previous prime is 13759. The next prime is 13763. The reversal of 13760 is 6731.

13760 is nontrivially palindromic in base 7.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13760.

It is not an unprimeable number, because it can be changed into a prime (13763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299 + ... + 341.

2¹³⁷⁶⁰ is an apocalyptic number.

13760 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 13760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764).

13760 is an abundant number, since it is smaller than the sum of its proper divisors (19768).

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

13760 is an equidigital number, since it uses as much as digits as its factorization.

13760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13760 is about 117.3030263889. The cubic root of 13760 is about 23.9629056596.

The spelling of 13760 in words is "thirteen thousand, seven hundred sixty".