13349504 has 64 divisors (see below), whose sum is σ = 31138560. Its totient is φ = 5581824.

The previous prime is 13349503. The next prime is 13349509. The reversal of 13349504 is 40594331.

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

It is not an unprimeable number, because it can be changed into a prime (13349503) 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, 41954 + ... + 42270.

It is an arithmetic number, because the mean of its divisors is an integer number (486540).

Almost surely, 2^13349504 is an apocalyptic number.

13349504 is a gapful number since it is divisible by the number (14) 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 13349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569280).

13349504 is an abundant number, since it is smaller than the sum of its proper divisors (17789056).

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

13349504 is an equidigital number, since it uses as much as digits as its factorization.

13349504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 13349504 is about 3653.6973054702. The cubic root of 13349504 is about 237.2220437982. Note that the first 3 decimals are identical.

The spelling of 13349504 in words is "thirteen million, three hundred forty-nine thousand, five hundred four".