11791760 has 20 divisors (see below), whose sum is σ = 27416028. Its totient is φ = 4716672.

The previous prime is 11791753. The next prime is 11791781. The reversal of 11791760 is 6719711.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 5400976 = 2528^2 + 2324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73619 + ... + 73778.

Almost surely, 2^11791760 is an apocalyptic number.

11791760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11791760 is an abundant number, since it is smaller than the sum of its proper divisors (15624268).

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

11791760 is a wasteful number, since it uses less digits than its factorization.

11791760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147410 (or 147404 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 32.

The square root of 11791760 is about 3433.9132196373. The cubic root of 11791760 is about 227.6108062240.

The spelling of 11791760 in words is "eleven million, seven hundred ninety-one thousand, seven hundred sixty".