11564964 has 48 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3627648.

The previous prime is 11564963. The next prime is 11564983. The reversal of 11564964 is 46946511.

11564964 is a `hidden beast` number, since 1 + 1 + 5 + 649 + 6 + 4 = 666.

11564964 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 Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11564963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^11564964 is an apocalyptic number.

It is an amenable number.

11564964 is an abundant number, since it is smaller than the sum of its proper divisors (20187036).

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

11564964 is a wasteful number, since it uses less digits than its factorization.

11564964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6321 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 11564964 is about 3400.7299216492. The cubic root of 11564964 is about 226.1421039622.

The spelling of 11564964 in words is "eleven million, five hundred sixty-four thousand, nine hundred sixty-four".