11049984 has 132 divisors (see below), whose sum is σ = 35126520. Its totient is φ = 3317760.

The previous prime is 11049979. The next prime is 11049991. The reversal of 11049984 is 48994011.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 101322 + ... + 101430.

It is an arithmetic number, because the mean of its divisors is an integer number (266110).

Almost surely, 2^11049984 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 11049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563260).

11049984 is an abundant number, since it is smaller than the sum of its proper divisors (24076536).

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

11049984 is a wasteful number, since it uses less digits than its factorization.

11049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11049984 is about 3324.1516210907. The cubic root of 11049984 is about 222.7343589633.

The spelling of 11049984 in words is "eleven million, forty-nine thousand, nine hundred eighty-four".