13868160 has 128 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 3563520.

The previous prime is 13868159. The next prime is 13868171. The reversal of 13868160 is 6186831.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59404 + ... + 59636.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 2^13868160 is an apocalyptic number.

13868160 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 13868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

13868160 is an abundant number, since it is smaller than the sum of its proper divisors (31958400).

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

13868160 is a wasteful number, since it uses less digits than its factorization.

13868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13868160 is about 3723.9978517717. The cubic root of 13868160 is about 240.2552839181.

It can be divided in two parts, 13868 and 160, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13868160 in words is "thirteen million, eight hundred sixty-eight thousand, one hundred sixty".