13349760 has 128 divisors (see below), whose sum is σ = 45165600. Its totient is φ = 3342336.

The previous prime is 13349741. The next prime is 13349767. The reversal of 13349760 is 6794331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13349767) 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 15 ways as a sum of consecutive naturals, for example, 32436 + ... + 32844.

Almost surely, 2^13349760 is an apocalyptic number.

13349760 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 13349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22582800).

13349760 is an abundant number, since it is smaller than the sum of its proper divisors (31815840).

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

13349760 is a wasteful number, since it uses less digits than its factorization.

13349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13349760 is about 3653.7323383083. The cubic root of 13349760 is about 237.2235601705.

The spelling of 13349760 in words is "thirteen million, three hundred forty-nine thousand, seven hundred sixty".