11810160 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3073536.

The previous prime is 11810147. The next prime is 11810167. The reversal of 11810160 is 6101811.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11810167) 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 23 ways as a sum of consecutive naturals, for example, 33666 + ... + 34014.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^11810160 is an apocalyptic number.

11810160 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 11810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

11810160 is an abundant number, since it is smaller than the sum of its proper divisors (28812240).

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

11810160 is a wasteful number, since it uses less digits than its factorization.

11810160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11810160 is about 3436.5913344476. The cubic root of 11810160 is about 227.7291335522.

Adding to 11810160 its reverse (6101811), we get a palindrome (17911971).

The spelling of 11810160 in words is "eleven million, eight hundred ten thousand, one hundred sixty".