11814480 has 120 divisors (see below), whose sum is σ = 40477320. Its totient is φ = 3087360.

The previous prime is 11814461. The next prime is 11814493. The reversal of 11814480 is 8441811.

11814480 is a `hidden beast` number, since 1 + 181 + 4 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 11128896 = 828^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43786 + ... + 44054.

It is an arithmetic number, because the mean of its divisors is an integer number (337311).

Almost surely, 2^11814480 is an apocalyptic number.

11814480 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 11814480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20238660).

11814480 is an abundant number, since it is smaller than the sum of its proper divisors (28662840).

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

11814480 is a wasteful number, since it uses less digits than its factorization.

11814480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11814480 is about 3437.2198067624. The cubic root of 11814480 is about 227.7568969336.

The spelling of 11814480 in words is "eleven million, eight hundred fourteen thousand, four hundred eighty".