11782960 has 80 divisors (see below), whose sum is σ = 31980096. Its totient is φ = 3953664.

The previous prime is 11782937. The next prime is 11782973. The reversal of 11782960 is 6928711.

It is a happy number.

11782960 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 (80).

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, 29482 + ... + 29878.

Almost surely, 2^11782960 is an apocalyptic number.

11782960 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 11782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990048).

11782960 is an abundant number, since it is smaller than the sum of its proper divisors (20197136).

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

11782960 is a wasteful number, since it uses less digits than its factorization.

11782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11782960 is about 3432.6316435062. The cubic root of 11782960 is about 227.5541713772.

The spelling of 11782960 in words is "eleven million, seven hundred eighty-two thousand, nine hundred sixty".