13705840 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 5080320.

The previous prime is 13705837. The next prime is 13705841. The reversal of 13705840 is 4850731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13705799 and 13705808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705841) 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, 107857 + ... + 107983.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^13705840 is an apocalyptic number.

13705840 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 13705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

13705840 is an abundant number, since it is smaller than the sum of its proper divisors (20577680).

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

13705840 is a wasteful number, since it uses less digits than its factorization.

13705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13705840 is about 3702.1399217209. The cubic root of 13705840 is about 239.3142461602.

The spelling of 13705840 in words is "thirteen million, seven hundred five thousand, eight hundred forty".