13847680 has 128 divisors (see below), whose sum is σ = 41420160. Its totient is φ = 4300800.

The previous prime is 13847651. The next prime is 13847683. The reversal of 13847680 is 8674831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13847683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49140 + ... + 49420.

It is an arithmetic number, because the mean of its divisors is an integer number (323595).

Almost surely, 2^13847680 is an apocalyptic number.

13847680 is a gapful number since it is divisible by the number (10) 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 13847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710080).

13847680 is an abundant number, since it is smaller than the sum of its proper divisors (27572480).

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

13847680 is a wasteful number, since it uses less digits than its factorization.

13847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 13847680 is about 3721.2471027869. The cubic root of 13847680 is about 240.1369588650.

The spelling of 13847680 in words is "thirteen million, eight hundred forty-seven thousand, six hundred eighty".