13860 has 72 divisors (see below), whose sum is σ = 52416. Its totient is φ = 2880.

The previous prime is 13859. The next prime is 13873. The reversal of 13860 is 6831.

13860 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (728).

2¹³⁸⁶⁰ is an apocalyptic number.

13860 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 13860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208).

13860 is an abundant number, since it is smaller than the sum of its proper divisors (38556).

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

13860 is a wasteful number, since it uses less digits than its factorization.

13860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13860 is about 117.7285012221. The cubic root of 13860 is about 24.0208152750.

The spelling of 13860 in words is "thirteen thousand, eight hundred sixty".