13805760 has 112 divisors (see below), whose sum is σ = 44659296. Its totient is φ = 3612672.

The previous prime is 13805749. The next prime is 13805767. The reversal of 13805760 is 6750831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13805767) 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, 69982 + ... + 70178.

Almost surely, 2^13805760 is an apocalyptic number.

13805760 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 13805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22329648).

13805760 is an abundant number, since it is smaller than the sum of its proper divisors (30853536).

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

13805760 is a wasteful number, since it uses less digits than its factorization.

13805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13805760 is about 3715.6103132595. The cubic root of 13805760 is about 239.8943979855.

It can be divided in two parts, 1380 and 5760, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 13805760 in words is "thirteen million, eight hundred five thousand, seven hundred sixty".