11327712 has 96 divisors (see below), whose sum is σ = 34401024. Its totient is φ = 3225600.

The previous prime is 11327699. The next prime is 11327717. The reversal of 11327712 is 21772311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11327717) 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, 17637 + ... + 18267.

It is an arithmetic number, because the mean of its divisors is an integer number (358344).

Almost surely, 2^11327712 is an apocalyptic number.

11327712 is a gapful number since it is divisible by the number (12) 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 11327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200512).

11327712 is an abundant number, since it is smaller than the sum of its proper divisors (23073312).

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

11327712 is a wasteful number, since it uses less digits than its factorization.

11327712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 11327712 is about 3365.6666501601. Note that the first 4 decimals coincide. The cubic root of 11327712 is about 224.5849930251.

It can be divided in two parts, 11 and 327712, that added together give a palindrome (327723).

The spelling of 11327712 in words is "eleven million, three hundred twenty-seven thousand, seven hundred twelve".