11449120 has 48 divisors (see below), whose sum is σ = 27276480. Its totient is φ = 4541184.

The previous prime is 11449117. The next prime is 11449213. The reversal of 11449120 is 2194411.

It is a junction number, because it is equal to n+sod(n) for n = 11449091 and 11449100.

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, 25861 + ... + 26299.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 2^11449120 is an apocalyptic number.

11449120 is a gapful number since it is divisible by the number (10) 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 11449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13638240).

11449120 is an abundant number, since it is smaller than the sum of its proper divisors (15827360).

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

11449120 is a wasteful number, since it uses less digits than its factorization.

11449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11449120 is about 3383.6548287318. The cubic root of 11449120 is about 225.3844948390.

The spelling of 11449120 in words is "eleven million, four hundred forty-nine thousand, one hundred twenty".