11787664 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 4608000.

The previous prime is 11787653. The next prime is 11787667. The reversal of 11787664 is 46678711.

Its product of digits (56448) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11787667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77989 + ... + 78139.

Almost surely, 2^11787664 is an apocalyptic number.

11787664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11787664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

11787664 is an abundant number, since it is smaller than the sum of its proper divisors (16710512).

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

11787664 is a wasteful number, since it uses less digits than its factorization.

11787664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 11787664 is about 3433.3167637141. The cubic root of 11787664 is about 227.5844487837.

The spelling of 11787664 in words is "eleven million, seven hundred eighty-seven thousand, six hundred sixty-four".