11827880 has 64 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 4402944.

The previous prime is 11827843. The next prime is 11827897. The reversal of 11827880 is 8872811.

11827880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11827880.

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, 59942 + ... + 60138.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 2^11827880 is an apocalyptic number.

11827880 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 11827880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256000).

11827880 is an abundant number, since it is smaller than the sum of its proper divisors (16684120).

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

11827880 is a wasteful number, since it uses less digits than its factorization.

11827880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 11827880 is about 3439.1685041591. The cubic root of 11827880 is about 227.8429717984.

The spelling of 11827880 in words is "eleven million, eight hundred twenty-seven thousand, eight hundred eighty".