11814880 has 144 divisors (see below), whose sum is σ = 35680176. Its totient is φ = 3655680.

The previous prime is 11814871. The next prime is 11814889. The reversal of 11814880 is 8841811.

It is an interprime number because it is at equal distance from previous prime (11814871) and next prime (11814889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11814889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86172 + ... + 86308.

It is an arithmetic number, because the mean of its divisors is an integer number (247779).

Almost surely, 2^11814880 is an apocalyptic number.

11814880 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 11814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840088).

11814880 is an abundant number, since it is smaller than the sum of its proper divisors (23865296).

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

11814880 is a wasteful number, since it uses less digits than its factorization.

11814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The square root of 11814880 is about 3437.2779928310. The cubic root of 11814880 is about 227.7594672747.

The spelling of 11814880 in words is "eleven million, eight hundred fourteen thousand, eight hundred eighty".