11206314 has 96 divisors (see below), whose sum is σ = 30351360. Its totient is φ = 2916000.

The previous prime is 11206289. The next prime is 11206331. The reversal of 11206314 is 41360211.

It is a happy number.

11206314 is a `hidden beast` number, since 11 + 20 + 631 + 4 = 666.

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

It is a Curzon number.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74139 + ... + 74289.

It is an arithmetic number, because the mean of its divisors is an integer number (316160).

Almost surely, 2^11206314 is an apocalyptic number.

11206314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11206314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175680).

11206314 is an abundant number, since it is smaller than the sum of its proper divisors (19145046).

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

11206314 is a wasteful number, since it uses less digits than its factorization.

11206314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11206314 is about 3347.5833074025. The cubic root of 11206314 is about 223.7798245774.

Adding to 11206314 its reverse (41360211), we get a palindrome (52566525).

The spelling of 11206314 in words is "eleven million, two hundred six thousand, three hundred fourteen".