11789664 has 48 divisors (see below), whose sum is σ = 31223808. Its totient is φ = 3894912.

The previous prime is 11789663. The next prime is 11789669. The reversal of 11789664 is 46698711.

11789664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11789663) 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, 11709 + ... + 12675.

It is an arithmetic number, because the mean of its divisors is an integer number (650496).

Almost surely, 2^11789664 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 11789664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611904).

11789664 is an abundant number, since it is smaller than the sum of its proper divisors (19434144).

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

11789664 is a wasteful number, since it uses less digits than its factorization.

11789664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 11789664 is about 3433.6080149021. The cubic root of 11789664 is about 227.5973193903.

The spelling of 11789664 in words is "eleven million, seven hundred eighty-nine thousand, six hundred sixty-four".