13887768 has 64 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 4371840.

The previous prime is 13887761. The next prime is 13887817. The reversal of 13887768 is 86778831.

13887768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13887761) 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, 76638 + ... + 76818.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^13887768 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 13887768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

13887768 is an abundant number, since it is smaller than the sum of its proper divisors (22803432).

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

13887768 is a wasteful number, since it uses less digits than its factorization.

13887768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 13887768 is about 3726.6295764404. The cubic root of 13887768 is about 240.3684618045.

The spelling of 13887768 in words is "thirteen million, eight hundred eighty-seven thousand, seven hundred sixty-eight".