11327000 has 64 divisors (see below), whose sum is σ = 27181440. Its totient is φ = 4416000.

The previous prime is 11326999. The next prime is 11327009. The reversal of 11327000 is 72311.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11327009) 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 15 ways as a sum of consecutive naturals, for example, 46880 + ... + 47120.

It is an arithmetic number, because the mean of its divisors is an integer number (424710).

Almost surely, 2^11327000 is an apocalyptic number.

11327000 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 11327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590720).

11327000 is an abundant number, since it is smaller than the sum of its proper divisors (15854440).

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

11327000 is a wasteful number, since it uses less digits than its factorization.

11327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 11327000 is about 3365.5608745052. The cubic root of 11327000 is about 224.5802875187.

Adding to 11327000 its reverse (72311), we get a palindrome (11399311).

The spelling of 11327000 in words is "eleven million, three hundred twenty-seven thousand".