13878 has 16 divisors (see below), whose sum is σ = 30960. Its totient is φ = 4608.

The previous prime is 13877. The next prime is 13879. The reversal of 13878 is 87831.

It is an interprime number because it is at equal distance from previous prime (13877) and next prime (13879).

It is a Harshad number since it is a multiple of its sum of digits (27).

13878 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13873) 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, 75 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (1935).

2¹³⁸⁷⁸ is an apocalyptic number.

13878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13878 is an abundant number, since it is smaller than the sum of its proper divisors (17082).

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 (15480).

13878 is a wasteful number, since it uses less digits than its factorization.

13878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13878 is about 117.8049234964. The cubic root of 13878 is about 24.0312093980.

It can be divided in two parts, 138 and 78, that added together give a cube (216 = 6³).

The spelling of 13878 in words is "thirteen thousand, eight hundred seventy-eight".