13890768 has 80 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4200448.

The previous prime is 13890749. The next prime is 13890769. The reversal of 13890768 is 86709831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13890769) 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, 23371 + ... + 23957.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^13890768 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 13890768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13890768 is an abundant number, since it is smaller than the sum of its proper divisors (25481712).

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

13890768 is a wasteful number, since it uses less digits than its factorization.

13890768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 13890768 is about 3727.0320631838. The cubic root of 13890768 is about 240.3857684845.

The spelling of 13890768 in words is "thirteen million, eight hundred ninety thousand, seven hundred sixty-eight".