13605760 has 64 divisors (see below), whose sum is σ = 37185120. Its totient is φ = 4663296.

The previous prime is 13605749. The next prime is 13605769. The reversal of 13605760 is 6750631.

13605760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962 + ... + 5998.

Almost surely, 2^13605760 is an apocalyptic number.

13605760 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 13605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592560).

13605760 is an abundant number, since it is smaller than the sum of its proper divisors (23579360).

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

13605760 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 8 representation: 13605760 = (63715600)₈.

13605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 13605760 is about 3688.5986498940. The cubic root of 13605760 is about 238.7303319781.

It can be divided in two parts, 13605 and 760, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13605760 in words is "thirteen million, six hundred five thousand, seven hundred sixty".