13986168 has 64 divisors (see below), whose sum is σ = 40800000. Its totient is φ = 3993696.

The previous prime is 13986163. The next prime is 13986169. The reversal of 13986168 is 86168931.

It is a super-2 number, since 2×13986168² = 391225790648448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13986163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7383 + ... + 9081.

It is an arithmetic number, because the mean of its divisors is an integer number (637500).

Almost surely, 2^13986168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13986168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400000).

13986168 is an abundant number, since it is smaller than the sum of its proper divisors (26813832).

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

13986168 is a wasteful number, since it uses less digits than its factorization.

13986168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1711 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 13986168 is about 3739.8085512496. The cubic root of 13986168 is about 240.9348262441.

The spelling of 13986168 in words is "thirteen million, nine hundred eighty-six thousand, one hundred sixty-eight".