13889268 has 36 divisors (see below), whose sum is σ = 35259588. Its totient is φ = 4609920.

The previous prime is 13889261. The next prime is 13889269. The reversal of 13889268 is 86298831.

13889268 is a `hidden beast` number, since 1 + 388 + 9 + 268 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 1695204 = 3492^2 + 1302^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13889261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9430 + ... + 10802.

It is an arithmetic number, because the mean of its divisors is an integer number (979433).

Almost surely, 2^13889268 is an apocalyptic number.

13889268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13889268 is an abundant number, since it is smaller than the sum of its proper divisors (21370320).

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

13889268 is a wasteful number, since it uses less digits than its factorization.

13889268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1659 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 13889268 is about 3726.8308252455. The cubic root of 13889268 is about 240.3771154560.

The spelling of 13889268 in words is "thirteen million, eight hundred eighty-nine thousand, two hundred sixty-eight".