11114208 has 144 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 3068928.

The previous prime is 11114203. The next prime is 11114263. The reversal of 11114208 is 80241111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114203) 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, 74518 + ... + 74666.

It is an arithmetic number, because the mean of its divisors is an integer number (259350).

Almost surely, 2^11114208 is an apocalyptic number.

11114208 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 11114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

11114208 is an abundant number, since it is smaller than the sum of its proper divisors (26232192).

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

11114208 is a wasteful number, since it uses less digits than its factorization.

11114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11114208 is about 3333.7978343025. The cubic root of 11114208 is about 223.1650463629.

Adding to 11114208 its reverse (80241111), we get a palindrome (91355319).

The spelling of 11114208 in words is "eleven million, one hundred fourteen thousand, two hundred eight".