13564704 has 48 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 4473600.

The previous prime is 13564703. The next prime is 13564709. The reversal of 13564704 is 40746531.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13564703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8997 + ... + 10395.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 2^13564704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13564704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

13564704 is an abundant number, since it is smaller than the sum of its proper divisors (22420896).

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

13564704 is a wasteful number, since it uses less digits than its factorization.

13564704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 13564704 is about 3683.0291880462. The cubic root of 13564704 is about 238.4899634943.

The spelling of 13564704 in words is "thirteen million, five hundred sixty-four thousand, seven hundred four".