13760384 has 64 divisors (see below), whose sum is σ = 31028400. Its totient is φ = 6021120.

The previous prime is 13760359. The next prime is 13760399. The reversal of 13760384 is 48306731.

13760384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13760384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40664 + ... + 41000.

Almost surely, 2^13760384 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 13760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514200).

13760384 is an abundant number, since it is smaller than the sum of its proper divisors (17268016).

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

13760384 is a wasteful number, since it uses less digits than its factorization.

13760384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 13760384 is about 3709.4991575683. The cubic root of 13760384 is about 239.6312856826.

The spelling of 13760384 in words is "thirteen million, seven hundred sixty thousand, three hundred eighty-four".