11745984 has 56 divisors (see below), whose sum is σ = 31382208. Its totient is φ = 3877120.

The previous prime is 11745973. The next prime is 11746001. The reversal of 11745984 is 48954711.

It is an unprimeable number.

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, 24919 + ... + 25385.

Almost surely, 2^11745984 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 11745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691104).

11745984 is an abundant number, since it is smaller than the sum of its proper divisors (19636224).

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

11745984 is a wasteful number, since it uses less digits than its factorization.

11745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 603 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 11745984 is about 3427.2414563319. The cubic root of 11745984 is about 227.3158933960.

The spelling of 11745984 in words is "eleven million, seven hundred forty-five thousand, nine hundred eighty-four".