11441664 has 120 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 3502080.

The previous prime is 11441659. The next prime is 11441669. The reversal of 11441664 is 46614411.

It is an interprime number because it is at equal distance from previous prime (11441659) and next prime (11441669).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59809 + ... + 59999.

Almost surely, 2^11441664 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 11441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

11441664 is an abundant number, since it is smaller than the sum of its proper divisors (24306048).

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

11441664 is a wasteful number, since it uses less digits than its factorization.

11441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

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

The square root of 11441664 is about 3382.5528820700. The cubic root of 11441664 is about 225.3355585680.

The spelling of 11441664 in words is "eleven million, four hundred forty-one thousand, six hundred sixty-four".