13564768 has 72 divisors (see below), whose sum is σ = 31974264. Its totient is φ = 5644800.

The previous prime is 13564729. The next prime is 13564807. The reversal of 13564768 is 86746531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13564729) and next prime (13564807).

It is a self number, because there is not a number n which added to its sum of digits gives 13564768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64183 + ... + 64393.

It is an arithmetic number, because the mean of its divisors is an integer number (444087).

Almost surely, 2^13564768 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 13564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987132).

13564768 is an abundant number, since it is smaller than the sum of its proper divisors (18409496).

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

13564768 is a wasteful number, since it uses less digits than its factorization.

13564768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 13564768 is about 3683.0378765362. The cubic root of 13564768 is about 238.4903385691.

The spelling of 13564768 in words is "thirteen million, five hundred sixty-four thousand, seven hundred sixty-eight".