11813760 has 192 divisors, whose sum is σ = 46781280. Its totient is φ = 2691072.

The previous prime is 11813741. The next prime is 11813797. The reversal of 11813760 is 6731811.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40174 + ... + 40466.

Almost surely, 2^11813760 is an apocalyptic number.

11813760 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 11813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

11813760 is an abundant number, since it is smaller than the sum of its proper divisors (34967520).

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

11813760 is a wasteful number, since it uses less digits than its factorization.

11813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11813760 is about 3437.1150693569. The cubic root of 11813760 is about 227.7522701734.

The spelling of 11813760 in words is "eleven million, eight hundred thirteen thousand, seven hundred sixty".