13744768 has 32 divisors (see below), whose sum is σ = 27588960. Its totient is φ = 6820608.

The previous prime is 13744747. The next prime is 13744781. The reversal of 13744768 is 86744731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13744768.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21055 + ... + 21697.

It is an arithmetic number, because the mean of its divisors is an integer number (862155).

Almost surely, 2^13744768 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 13744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794480).

13744768 is an abundant number, since it is smaller than the sum of its proper divisors (13844192).

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

13744768 is an equidigital number, since it uses as much as digits as its factorization.

13744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 812 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 13744768 is about 3707.3936936883. The cubic root of 13744768 is about 239.5406026847.

The spelling of 13744768 in words is "thirteen million, seven hundred forty-four thousand, seven hundred sixty-eight".