13805280 has 72 divisors (see below), whose sum is σ = 47115432. Its totient is φ = 3681024.

The previous prime is 13805257. The next prime is 13805287. The reversal of 13805280 is 8250831.

It is a happy number.

13805280 is a `hidden beast` number, since 1 + 380 + 5 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13805287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3354 + ... + 6233.

It is an arithmetic number, because the mean of its divisors is an integer number (654381).

Almost surely, 2^13805280 is an apocalyptic number.

13805280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13805280 is an abundant number, since it is smaller than the sum of its proper divisors (33310152).

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

13805280 is a wasteful number, since it uses less digits than its factorization.

13805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13805280 is about 3715.5457203485. The cubic root of 13805280 is about 239.8916177294.

The spelling of 13805280 in words is "thirteen million, eight hundred five thousand, two hundred eighty".