11981760 has 112 divisors (see below), whose sum is σ = 43501056. Its totient is φ = 2737152.

The previous prime is 11981743. The next prime is 11981773. The reversal of 11981760 is 6718911.

11981760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 5829 + ... + 7611.

Almost surely, 2^11981760 is an apocalyptic number.

11981760 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 11981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750528).

11981760 is an abundant number, since it is smaller than the sum of its proper divisors (31519296).

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

11981760 is a wasteful number, since it uses less digits than its factorization.

11981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 11981760 is about 3461.4678967167. The cubic root of 11981760 is about 228.8267919789.

The spelling of 11981760 in words is "eleven million, nine hundred eighty-one thousand, seven hundred sixty".