11444688 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3497472.

The previous prime is 11444687. The next prime is 11444717. The reversal of 11444688 is 88644411.

It is a Cunningham number, because it is equal to 3383²-1.

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 plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128548 + ... + 128636.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^11444688 is an apocalyptic number.

11444688 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 11444688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11444688 is an abundant number, since it is smaller than the sum of its proper divisors (23374512).

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

11444688 is a wasteful number, since it uses less digits than its factorization.

11444688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 11444688 is about 3382.9998522022. Note that the first 3 decimals coincide. The cubic root of 11444688 is about 225.3554086733.

It can be divided in two parts, 1144 and 4688, that added together give a cube (5832 = 18³).

The spelling of 11444688 in words is "eleven million, four hundred forty-four thousand, six hundred eighty-eight".