11884240 has 40 divisors (see below), whose sum is σ = 27844200. Its totient is φ = 4717056.

The previous prime is 11884237. The next prime is 11884267. The reversal of 11884240 is 4248811.

11884240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 10810944 = 1036^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11884199 and 11884208.

It is a congruent number.

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, 11422 + ... + 12418.

It is an arithmetic number, because the mean of its divisors is an integer number (696105).

Almost surely, 2^11884240 is an apocalyptic number.

11884240 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 11884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922100).

11884240 is an abundant number, since it is smaller than the sum of its proper divisors (15959960).

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

11884240 is a wasteful number, since it uses less digits than its factorization.

11884240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 11884240 is about 3447.3526074366. The cubic root of 11884240 is about 228.2042900708.

The spelling of 11884240 in words is "eleven million, eight hundred eighty-four thousand, two hundred forty".