13876368 has 80 divisors (see below), whose sum is σ = 40122432. Its totient is φ = 4096000.

The previous prime is 13876367. The next prime is 13876381. The reversal of 13876368 is 86367831.

13876368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13876368³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13876361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21328 + ... + 21968.

Almost surely, 2^13876368 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 13876368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061216).

13876368 is an abundant number, since it is smaller than the sum of its proper divisors (26246064).

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

13876368 is a wasteful number, since it uses less digits than its factorization.

13876368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 13876368 is about 3725.0997302086. The cubic root of 13876368 is about 240.3026736811.

It can be divided in two parts, 138763 and 68, that added together give a palindrome (138831).

The spelling of 13876368 in words is "thirteen million, eight hundred seventy-six thousand, three hundred sixty-eight".