11345984 has 42 divisors (see below), whose sum is σ = 24403050. Its totient is φ = 5231616.

The previous prime is 11345977. The next prime is 11346001. The reversal of 11345984 is 48954311.

It can be written as a sum of positive squares in 3 ways, for example, as 640000 + 10705984 = 800^2 + 3272^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10292 + ... + 11340.

It is an arithmetic number, because the mean of its divisors is an integer number (581025).

Almost surely, 2^11345984 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 11345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201525).

11345984 is an abundant number, since it is smaller than the sum of its proper divisors (13057066).

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

11345984 is a wasteful number, since it uses less digits than its factorization.

11345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1064 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 11345984 is about 3368.3800260659. The cubic root of 11345984 is about 224.7056826678.

The spelling of 11345984 in words is "eleven million, three hundred forty-five thousand, nine hundred eighty-four".