11449984 has 64 divisors (see below), whose sum is σ = 28103040. Its totient is φ = 4525056.

The previous prime is 11449979. The next prime is 11450003. The reversal of 11449984 is 48994411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11449984² = 262204267200512, which contains 22 as substring.

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, 11157 + ... + 12139.

It is an arithmetic number, because the mean of its divisors is an integer number (439110).

Almost surely, 2^11449984 is an apocalyptic number.

11449984 is a gapful number since it is divisible by the number (14) 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 11449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14051520).

11449984 is an abundant number, since it is smaller than the sum of its proper divisors (16653056).

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

11449984 is an equidigital number, since it uses as much as digits as its factorization.

11449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 11449984 is about 3383.7824989204. The cubic root of 11449984 is about 225.3901641919.

The spelling of 11449984 in words is "eleven million, four hundred forty-nine thousand, nine hundred eighty-four".