11814912 has 72 divisors (see below), whose sum is σ = 34176870. Its totient is φ = 3932160.

The previous prime is 11814889. The next prime is 11814923. The reversal of 11814912 is 21941811.

It can be written as a sum of positive squares in only one way, i.e., 7750656 + 4064256 = 2784^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18112 + ... + 18752.

Almost surely, 2^11814912 is an apocalyptic number.

11814912 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 11814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088435).

11814912 is an abundant number, since it is smaller than the sum of its proper divisors (22361958).

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

11814912 is an equidigital number, since it uses as much as digits as its factorization.

11814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 646 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 11814912 is about 3437.2826476739. The cubic root of 11814912 is about 227.7596728994.

The spelling of 11814912 in words is "eleven million, eight hundred fourteen thousand, nine hundred twelve".