11314600 has 96 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 3974400.

The previous prime is 11314591. The next prime is 11314609. The reversal of 11314600 is 641311.

It is an interprime number because it is at equal distance from previous prime (11314591) and next prime (11314609).

It is not an unprimeable number, because it can be changed into a prime (11314609) 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, 81331 + ... + 81469.

It is an arithmetic number, because the mean of its divisors is an integer number (309225).

Almost surely, 2^11314600 is an apocalyptic number.

11314600 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 11314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

11314600 is an abundant number, since it is smaller than the sum of its proper divisors (18371000).

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

11314600 is a wasteful number, since it uses less digits than its factorization.

11314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11314600 is about 3363.7181808231. The cubic root of 11314600 is about 224.4983060472.

Adding to 11314600 its reverse (641311), we get a palindrome (11955911).

Subtracting from 11314600 its reverse (641311), we obtain a square (10673289 = 3267²).

The spelling of 11314600 in words is "eleven million, three hundred fourteen thousand, six hundred".