11685760 has 96 divisors (see below), whose sum is σ = 30385800. Its totient is φ = 4285440.

The previous prime is 11685757. The next prime is 11685761. The reversal of 11685760 is 6758611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11685761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376945 + ... + 376975.

Almost surely, 2^11685760 is an apocalyptic number.

11685760 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 11685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192900).

11685760 is an abundant number, since it is smaller than the sum of its proper divisors (18700040).

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

11685760 is an equidigital number, since it uses as much as digits as its factorization.

11685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 11685760 is about 3418.4440905184. Note that the first 3 decimals coincide. The cubic root of 11685760 is about 226.9267295724.

The spelling of 11685760 in words is "eleven million, six hundred eighty-five thousand, seven hundred sixty".