11646648 has 96 divisors (see below), whose sum is σ = 35511840. Its totient is φ = 3421440.

The previous prime is 11646631. The next prime is 11646653. The reversal of 11646648 is 84664611.

11646648 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 6 + 648 = 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 23 ways as a sum of consecutive naturals, for example, 21258 + ... + 21798.

It is an arithmetic number, because the mean of its divisors is an integer number (369915).

Almost surely, 2^11646648 is an apocalyptic number.

11646648 is a gapful number since it is divisible by the number (18) 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 11646648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755920).

11646648 is an abundant number, since it is smaller than the sum of its proper divisors (23865192).

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

11646648 is a wasteful number, since it uses less digits than its factorization.

11646648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

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

The square root of 11646648 is about 3412.7185644292. The cubic root of 11646648 is about 226.6732735483.

It can be divided in two parts, 116 and 46648, that added together give a palindrome (46764).

The spelling of 11646648 in words is "eleven million, six hundred forty-six thousand, six hundred forty-eight".