11115984 has 80 divisors (see below), whose sum is σ = 32230080. Its totient is φ = 3271680.

The previous prime is 11115983. The next prime is 11115989. The reversal of 11115984 is 48951111.

It is a happy number.

11115984 is digitally balanced in base 2, because in such base 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 (11115983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19252 + ... + 19820.

It is an arithmetic number, because the mean of its divisors is an integer number (402876).

Almost surely, 2^11115984 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 11115984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115040).

11115984 is an abundant number, since it is smaller than the sum of its proper divisors (21114096).

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

11115984 is a wasteful number, since it uses less digits than its factorization.

11115984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its digits is 1440, while the sum is 30.

The square root of 11115984 is about 3334.0641865447. The cubic root of 11115984 is about 223.1769326503.

It can be divided in two parts, 111 and 15984, that multiplied together give a square (1774224 = 1332²).

The spelling of 11115984 in words is "eleven million, one hundred fifteen thousand, nine hundred eighty-four".