11712960 has 252 divisors, whose sum is σ = 47429928. Its totient is φ = 2644992.

The previous prime is 11712937. The next prime is 11712989. The reversal of 11712960 is 6921711.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141079 + ... + 141161.

It is an arithmetic number, because the mean of its divisors is an integer number (188214).

Almost surely, 2^11712960 is an apocalyptic number.

11712960 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 11712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23714964).

11712960 is an abundant number, since it is smaller than the sum of its proper divisors (35716968).

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

11712960 is a wasteful number, since it uses less digits than its factorization.

11712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11712960 is about 3422.4201962938. The cubic root of 11712960 is about 227.1026594855.

The spelling of 11712960 in words is "eleven million, seven hundred twelve thousand, nine hundred sixty".