13874168 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 5328000.

The previous prime is 13874153. The next prime is 13874171. The reversal of 13874168 is 86147831.

It is a congruent number.

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, 62105 + ... + 62327.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^13874168 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 13874168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13874168 is an abundant number, since it is smaller than the sum of its proper divisors (19026952).

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

13874168 is a wasteful number, since it uses less digits than its factorization.

13874168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 13874168 is about 3724.8044243960. The cubic root of 13874168 is about 240.2899735802.

It can be divided in two parts, 1387 and 4168, that added together give a palindrome (5555).

The spelling of 13874168 in words is "thirteen million, eight hundred seventy-four thousand, one hundred sixty-eight".