11827040 has 48 divisors (see below), whose sum is σ = 28159488. Its totient is φ = 4694016.

The previous prime is 11827007. The next prime is 11827051. The reversal of 11827040 is 4072811.

11827040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11826997 and 11827015.

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, 30689 + ... + 31071.

It is an arithmetic number, because the mean of its divisors is an integer number (586656).

Almost surely, 2^11827040 is an apocalyptic number.

11827040 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 11827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079744).

11827040 is an abundant number, since it is smaller than the sum of its proper divisors (16332448).

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

11827040 is a wasteful number, since it uses less digits than its factorization.

11827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 11827040 is about 3439.0463794488. The cubic root of 11827040 is about 227.8375779710.

Adding to 11827040 its reverse (4072811), we get a palindrome (15899851).

The spelling of 11827040 in words is "eleven million, eight hundred twenty-seven thousand, forty".