11830160 has 80 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 4354560.

The previous prime is 11830081. The next prime is 11830163. The reversal of 11830160 is 6103811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11830163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65270 + ... + 65450.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^11830160 is an apocalyptic number.

11830160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3439×3440.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

11830160 is an abundant number, since it is smaller than the sum of its proper divisors (17959600).

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

11830160 is a wasteful number, since it uses less digits than its factorization.

11830160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11830160 is about 3439.4999636575. The cubic root of 11830160 is about 227.8576108997.

Adding to 11830160 its reverse (6103811), we get a palindrome (17933971).

The spelling of 11830160 in words is "eleven million, eight hundred thirty thousand, one hundred sixty".