13188768 has 24 divisors (see below), whose sum is σ = 34620768. Its totient is φ = 4396224.

The previous prime is 13188767. The next prime is 13188779. The reversal of 13188768 is 86788131.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (13188767) 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 3 ways as a sum of consecutive naturals, for example, 68596 + ... + 68787.

It is an arithmetic number, because the mean of its divisors is an integer number (1442532).

Almost surely, 2^13188768 is an apocalyptic number.

It is an amenable number.

13188768 is an abundant number, since it is smaller than the sum of its proper divisors (21432000).

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

13188768 is a wasteful number, since it uses less digits than its factorization.

13188768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137396 (or 137388 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 13188768 is about 3631.6343428269. The cubic root of 13188768 is about 236.2660983963.

The spelling of 13188768 in words is "thirteen million, one hundred eighty-eight thousand, seven hundred sixty-eight".