11814336 has 140 divisors (see below), whose sum is σ = 36511992. Its totient is φ = 3773952.

The previous prime is 11814307. The next prime is 11814347. The reversal of 11814336 is 63341811.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 222886 + ... + 222938.

Almost surely, 2^11814336 is an apocalyptic number.

11814336 is a gapful number since it is divisible by the number (16) 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 11814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255996).

11814336 is an abundant number, since it is smaller than the sum of its proper divisors (24697656).

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

11814336 is an equidigital number, since it uses as much as digits as its factorization.

11814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11814336 is about 3437.1988595366. The cubic root of 11814336 is about 227.7559715966.

The spelling of 11814336 in words is "eleven million, eight hundred fourteen thousand, three hundred thirty-six".