11563904 has 64 divisors (see below), whose sum is σ = 25850880. Its totient is φ = 5107200.

The previous prime is 11563901. The next prime is 11563921. The reversal of 11563904 is 40936511.

11563904 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563901) 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, 60449 + ... + 60639.

It is an arithmetic number, because the mean of its divisors is an integer number (403920).

Almost surely, 2^11563904 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 11563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925440).

11563904 is an abundant number, since it is smaller than the sum of its proper divisors (14286976).

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

11563904 is a wasteful number, since it uses less digits than its factorization.

11563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 11563904 is about 3400.5740691830. The cubic root of 11563904 is about 226.1351946467.

The spelling of 11563904 in words is "eleven million, five hundred sixty-three thousand, nine hundred four".