11113600 has 96 divisors (see below), whose sum is σ = 28837440. Its totient is φ = 4224000.

The previous prime is 11113589. The next prime is 11113603. The reversal of 11113600 is 631111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11113603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73525 + ... + 73675.

It is an arithmetic number, because the mean of its divisors is an integer number (300390).

Almost surely, 2^11113600 is an apocalyptic number.

11113600 is a gapful number since it is divisible by the number (10) 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 11113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418720).

11113600 is an abundant number, since it is smaller than the sum of its proper divisors (17723840).

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

11113600 is a wasteful number, since it uses less digits than its factorization.

11113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 11113600 is about 3333.7066457623. The cubic root of 11113600 is about 223.1609768925.

Adding to 11113600 its reverse (631111), we get a palindrome (11744711).

The spelling of 11113600 in words is "eleven million, one hundred thirteen thousand, six hundred".