11289216 has 32 divisors (see below), whose sum is σ = 29988000. Its totient is φ = 3762944.

The previous prime is 11289203. The next prime is 11289233. The reversal of 11289216 is 61298211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 14316 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 2^11289216 is an apocalyptic number.

11289216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11289216 is an abundant number, since it is smaller than the sum of its proper divisors (18698784).

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

11289216 is an equidigital number, since it uses as much as digits as its factorization.

11289216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29416 (or 29404 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 11289216 is about 3359.9428566569. The cubic root of 11289216 is about 224.3302950431.

The spelling of 11289216 in words is "eleven million, two hundred eighty-nine thousand, two hundred sixteen".