11644416 has 180 divisors, whose sum is σ = 40535352. Its totient is φ = 3151872.

The previous prime is 11644379. The next prime is 11644433. The reversal of 11644416 is 61444611.

11644416 is a `hidden beast` number, since 1 + 1 + 644 + 4 + 16 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11644416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 612855 + ... + 612873.

Almost surely, 2^11644416 is an apocalyptic number.

11644416 is a gapful number since it is divisible by the number (16) 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 11644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267676).

11644416 is an abundant number, since it is smaller than the sum of its proper divisors (28890936).

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

11644416 is an equidigital number, since it uses as much as digits as its factorization.

11644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 31 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11644416 is about 3412.3915367378. The cubic root of 11644416 is about 226.6587924985.

The spelling of 11644416 in words is "eleven million, six hundred forty-four thousand, four hundred sixteen".