11981736 has 128 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 3456000.

The previous prime is 11981713. The next prime is 11981743. The reversal of 11981736 is 63718911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11981736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47611 + ... + 47861.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 2^11981736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11981736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

11981736 is an abundant number, since it is smaller than the sum of its proper divisors (26120664).

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

11981736 is a wasteful number, since it uses less digits than its factorization.

11981736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11981736 is about 3461.4644299776. The cubic root of 11981736 is about 228.8266391954.

The spelling of 11981736 in words is "eleven million, nine hundred eighty-one thousand, seven hundred thirty-six".