11819760 has 80 divisors (see below), whose sum is σ = 38810016. Its totient is φ = 2965504.

The previous prime is 11819749. The next prime is 11819779. The reversal of 11819760 is 6791811.

11819760 is digitally balanced in base 2 and base 4, because in such bases 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 (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, 2632 + ... + 5528.

Almost surely, 2^11819760 is an apocalyptic number.

11819760 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 11819760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405008).

11819760 is an abundant number, since it is smaller than the sum of its proper divisors (26990256).

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

11819760 is a wasteful number, since it uses less digits than its factorization.

11819760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2924 counting only the distinct ones).

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

The square root of 11819760 is about 3437.9877835734. The cubic root of 11819760 is about 227.7908207659.

The spelling of 11819760 in words is "eleven million, eight hundred nineteen thousand, seven hundred sixty".