11206944 has 192 divisors, whose sum is σ = 39916800. Its totient is φ = 2985984.

The previous prime is 11206939. The next prime is 11206973. The reversal of 11206944 is 44960211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102762 + ... + 102870.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 2^11206944 is an apocalyptic number.

11206944 is a gapful number since it is divisible by the number (14) 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 11206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

11206944 is an abundant number, since it is smaller than the sum of its proper divisors (28709856).

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

11206944 is a wasteful number, since it uses less digits than its factorization.

11206944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11206944 is about 3347.6774038130. The cubic root of 11206944 is about 223.7840180064.

The spelling of 11206944 in words is "eleven million, two hundred six thousand, nine hundred forty-four".