11791680 has 112 divisors (see below), whose sum is σ = 38185344. Its totient is φ = 3082240.

The previous prime is 11791673. The next prime is 11791691. The reversal of 11791680 is 8619711.

11791680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 68074 + ... + 68246.

Almost surely, 2^11791680 is an apocalyptic number.

11791680 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 11791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092672).

11791680 is an abundant number, since it is smaller than the sum of its proper divisors (26393664).

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

11791680 is a wasteful number, since it uses less digits than its factorization.

11791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

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

The square root of 11791680 is about 3433.9015710996. The cubic root of 11791680 is about 227.6102914887.

The spelling of 11791680 in words is "eleven million, seven hundred ninety-one thousand, six hundred eighty".