11849360 has 40 divisors (see below), whose sum is σ = 27940920. Its totient is φ = 4672512.

The previous prime is 11849359. The next prime is 11849363. The reversal of 11849360 is 6394811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4963984 + 6885376 = 2228^2 + 2624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11849363) by changing a digit.

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, 4826 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (698523).

Almost surely, 2^11849360 is an apocalyptic number.

11849360 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 11849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970460).

11849360 is an abundant number, since it is smaller than the sum of its proper divisors (16091560).

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

11849360 is a wasteful number, since it uses less digits than its factorization.

11849360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 11849360 is about 3442.2899354935. The cubic root of 11849360 is about 227.9808129950.

The spelling of 11849360 in words is "eleven million, eight hundred forty-nine thousand, three hundred sixty".