11386944 has 84 divisors (see below), whose sum is σ = 33343596. Its totient is φ = 3714048.

The previous prime is 11386939. The next prime is 11386961. The reversal of 11386944 is 44968311.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 4161600 = 2688^2 + 2040^2 .

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 nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11386899 and 11386908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30342 + ... + 30714.

Almost surely, 2^11386944 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 11386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671798).

11386944 is an abundant number, since it is smaller than the sum of its proper divisors (21956652).

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

11386944 is a wasteful number, since it uses less digits than its factorization.

11386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11386944 is about 3374.4546226020. The cubic root of 11386944 is about 224.9757603517.

It can be divided in two parts, 1 and 1386944, that added together give a triangular number (1386945 = T₁₆₆₅).

The spelling of 11386944 in words is "eleven million, three hundred eighty-six thousand, nine hundred forty-four".