13880 has 16 divisors (see below), whose sum is σ = 31320. Its totient is φ = 5536.

The previous prime is 13879. The next prime is 13883. The reversal of 13880 is 8831.

13880 = T₆₅ + T₆₆ + ... + T₇₀.

13880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 213.

2¹³⁸⁸⁰ is an apocalyptic number.

13880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13880 is an abundant number, since it is smaller than the sum of its proper divisors (17440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660).

13880 is a wasteful number, since it uses less digits than its factorization.

13880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 13880 is about 117.8134118002. The cubic root of 13880 is about 24.0323637456.

The spelling of 13880 in words is "thirteen thousand, eight hundred eighty".