11866880 has 72 divisors (see below), whose sum is σ = 29041152. Its totient is φ = 4644864.

The previous prime is 11866871. The next prime is 11866913. The reversal of 11866880 is 8866811.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93377 + ... + 93503.

Almost surely, 2^11866880 is an apocalyptic number.

11866880 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 11866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520576).

11866880 is an abundant number, since it is smaller than the sum of its proper divisors (17174272).

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

11866880 is an equidigital number, since it uses as much as digits as its factorization.

11866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 11866880 is about 3444.8338131178. The cubic root of 11866880 is about 228.0931188324.

The spelling of 11866880 in words is "eleven million, eight hundred sixty-six thousand, eight hundred eighty".