13704768 has 224 divisors, whose sum is σ = 50718720. Its totient is φ = 3525120.

The previous prime is 13704767. The next prime is 13704773. The reversal of 13704768 is 86740731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13704767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133005 + ... + 133107.

Almost surely, 2^13704768 is an apocalyptic number.

13704768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359360).

13704768 is an abundant number, since it is smaller than the sum of its proper divisors (37013952).

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

13704768 is a wasteful number, since it uses less digits than its factorization.

13704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13704768 is about 3701.9951377602. The cubic root of 13704768 is about 239.3080066895.

Adding to 13704768 its sum of digits (36), we get a square (13704804 = 3702²).

The spelling of 13704768 in words is "thirteen million, seven hundred four thousand, seven hundred sixty-eight".