11944000 has 56 divisors (see below), whose sum is σ = 29599128. Its totient is φ = 4774400.

The previous prime is 11943991. The next prime is 11944001. The reversal of 11944000 is 44911.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 11943936 = 8^2 + 3456^2 .

It is not an unprimeable number, because it can be changed into a prime (11944001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7254 + ... + 8746.

Almost surely, 2^11944000 is an apocalyptic number.

11944000 is a gapful number since it is divisible by the number (10) 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 11944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799564).

11944000 is an abundant number, since it is smaller than the sum of its proper divisors (17655128).

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

11944000 is an equidigital number, since it uses as much as digits as its factorization.

11944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11944000 is about 3456.0092592469. The cubic root of 11944000 is about 228.5861597649.

Adding to 11944000 its reverse (44911), we get a palindrome (11988911).

The spelling of 11944000 in words is "eleven million, nine hundred forty-four thousand".