13481760 has 48 divisors (see below), whose sum is σ = 42469056. Its totient is φ = 3595008.

The previous prime is 13481753. The next prime is 13481761. The reversal of 13481760 is 6718431.

It is a happy number.

13481760 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 (48).

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

It is not an unprimeable number, because it can be changed into a prime (13481761) 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, 13564 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (884772).

Almost surely, 2^13481760 is an apocalyptic number.

13481760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13481760 is an abundant number, since it is smaller than the sum of its proper divisors (28987296).

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

13481760 is a wasteful number, since it uses less digits than its factorization.

13481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28105 (or 28097 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13481760 is about 3671.7516255869. The cubic root of 13481760 is about 238.0028717023.

It can be divided in two parts, 13481 and 760, that added together give a palindrome (14241).

The spelling of 13481760 in words is "thirteen million, four hundred eighty-one thousand, seven hundred sixty".