11648664 has 64 divisors (see below), whose sum is σ = 32640000. Its totient is φ = 3849120.

The previous prime is 11648641. The next prime is 11648713. The reversal of 11648664 is 46684611.

11648664 = 57² + 58² + ... + 327².

11648664 is a `hidden beast` number, since 1 + 1 + 648 + 6 + 6 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

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, 42849 + ... + 43119.

It is an arithmetic number, because the mean of its divisors is an integer number (510000).

Almost surely, 2^11648664 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 11648664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320000).

11648664 is an abundant number, since it is smaller than the sum of its proper divisors (20991336).

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

11648664 is a wasteful number, since it uses less digits than its factorization.

11648664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 11648664 is about 3413.0139173464. The cubic root of 11648664 is about 226.6863516160.

The spelling of 11648664 in words is "eleven million, six hundred forty-eight thousand, six hundred sixty-four".