11967936 has 56 divisors (see below), whose sum is σ = 32089344. Its totient is φ = 3936000.

The previous prime is 11967913. The next prime is 11967937. The reversal of 11967936 is 63976911.

11967936 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11967937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15561 + ... + 16311.

It is an arithmetic number, because the mean of its divisors is an integer number (573024).

Almost surely, 2^11967936 is an apocalyptic number.

11967936 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 11967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044672).

11967936 is an abundant number, since it is smaller than the sum of its proper divisors (20121408).

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

11967936 is an equidigital number, since it uses as much as digits as its factorization.

11967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 11967936 is about 3459.4704797122. The cubic root of 11967936 is about 228.7387548594.

The spelling of 11967936 in words is "eleven million, nine hundred sixty-seven thousand, nine hundred thirty-six".