13841280 has 192 divisors, whose sum is σ = 50122800. Its totient is φ = 3649536.

The previous prime is 13841279. The next prime is 13841287. The reversal of 13841280 is 8214831.

13841280 is a `hidden beast` number, since 1 + 384 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13841287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155476 + ... + 155564.

Almost surely, 2^13841280 is an apocalyptic number.

13841280 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 13841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061400).

13841280 is an abundant number, since it is smaller than the sum of its proper divisors (36281520).

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

13841280 is an frugal number, since it uses more digits than its factorization.

13841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13841280 is about 3720.3870766360. The cubic root of 13841280 is about 240.0999583622.

The spelling of 13841280 in words is "thirteen million, eight hundred forty-one thousand, two hundred eighty".