11813360 has 80 divisors (see below), whose sum is σ = 30477216. Its totient is φ = 4230144.

The previous prime is 11813357. The next prime is 11813377. The reversal of 11813360 is 6331811.

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

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, 38327 + ... + 38633.

Almost surely, 2^11813360 is an apocalyptic number.

11813360 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 11813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238608).

11813360 is an abundant number, since it is smaller than the sum of its proper divisors (18663856).

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

11813360 is a wasteful number, since it uses less digits than its factorization.

11813360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11813360 is about 3437.0568805302. The cubic root of 11813360 is about 227.7496996698.

The spelling of 11813360 in words is "eleven million, eight hundred thirteen thousand, three hundred sixty".