11812736 has 64 divisors (see below), whose sum is σ = 26275200. Its totient is φ = 5253120.

The previous prime is 11812733. The next prime is 11812769. The reversal of 11812736 is 63721811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11812699 and 11812708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812733) 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 7 ways as a sum of consecutive naturals, for example, 51470 + ... + 51698.

It is an arithmetic number, because the mean of its divisors is an integer number (410550).

Almost surely, 2^11812736 is an apocalyptic number.

11812736 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 11812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137600).

11812736 is an abundant number, since it is smaller than the sum of its proper divisors (14462464).

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

11812736 is a wasteful number, since it uses less digits than its factorization.

11812736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 11812736 is about 3436.9661039935. The cubic root of 11812736 is about 227.7456895684.

The spelling of 11812736 in words is "eleven million, eight hundred twelve thousand, seven hundred thirty-six".