11816160 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3107328.

The previous prime is 11816153. The next prime is 11816183. The reversal of 11816160 is 6161811.

11816160 = 9² + 10² + ... + 328².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11816160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49321 + ... + 49559.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^11816160 is an apocalyptic number.

11816160 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 11816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11816160 is an abundant number, since it is smaller than the sum of its proper divisors (25923360).

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

11816160 is a wasteful number, since it uses less digits than its factorization.

11816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11816160 is about 3437.4641816316. The cubic root of 11816160 is about 227.7676919764.

Adding to 11816160 its reverse (6161811), we get a palindrome (17977971).

The spelling of 11816160 in words is "eleven million, eight hundred sixteen thousand, one hundred sixty".