11557120 has 36 divisors (see below), whose sum is σ = 27685980. Its totient is φ = 4622336.

The previous prime is 11557099. The next prime is 11557129. The reversal of 11557120 is 2175511.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 2509056 = 3008^2 + 1584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11557091 and 11557100.

It is not an unprimeable number, because it can be changed into a prime (11557129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3235 + ... + 5794.

It is an arithmetic number, because the mean of its divisors is an integer number (769055).

Almost surely, 2^11557120 is an apocalyptic number.

11557120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11557120 is an abundant number, since it is smaller than the sum of its proper divisors (16128860).

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

11557120 is an frugal number, since it uses more digits than its factorization.

11557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 11557120 is about 3399.5764442060. The cubic root of 11557120 is about 226.0909650263.

The spelling of 11557120 in words is "eleven million, five hundred fifty-seven thousand, one hundred twenty".