11866680 has 192 divisors, whose sum is σ = 46837440. Its totient is φ = 2543616.

The previous prime is 11866649. The next prime is 11866691. The reversal of 11866680 is 8666811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42702 + ... + 42978.

It is an arithmetic number, because the mean of its divisors is an integer number (243945).

Almost surely, 2^11866680 is an apocalyptic number.

11866680 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 11866680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23418720).

11866680 is an abundant number, since it is smaller than the sum of its proper divisors (34970760).

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

11866680 is a wasteful number, since it uses less digits than its factorization.

11866680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 11866680 is about 3444.8047840190. The cubic root of 11866680 is about 228.0918374262.

It can be divided in two parts, 1 and 1866680, that added together give a palindrome (1866681).

The spelling of 11866680 in words is "eleven million, eight hundred sixty-six thousand, six hundred eighty".