11333664 has 144 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 3429888.

The previous prime is 11333629. The next prime is 11333669. The reversal of 11333664 is 46633311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192067 + ... + 192125.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^11333664 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 11333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

11333664 is an abundant number, since it is smaller than the sum of its proper divisors (24047136).

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

11333664 is a wasteful number, since it uses less digits than its factorization.

11333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 11333664 is about 3366.5507570806. The cubic root of 11333664 is about 224.6243212327.

Adding to 11333664 its reverse (46633311), we get a palindrome (57966975).

The spelling of 11333664 in words is "eleven million, three hundred thirty-three thousand, six hundred sixty-four".