13705056 has 72 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 4367616.

The previous prime is 13705031. The next prime is 13705057. The reversal of 13705056 is 65050731.

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

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705057) 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, 5590 + ... + 7658.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

Almost surely, 2^13705056 is an apocalyptic number.

13705056 is a gapful number since it is divisible by the number (16) 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 13705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

13705056 is an abundant number, since it is smaller than the sum of its proper divisors (26982864).

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

13705056 is a wasteful number, since it uses less digits than its factorization.

13705056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 13705056 is about 3702.0340354999. The cubic root of 13705056 is about 239.3096829972.

Adding to 13705056 its reverse (65050731), we get a palindrome (78755787).

The spelling of 13705056 in words is "thirteen million, seven hundred five thousand, fifty-six".