11527840 has 48 divisors (see below), whose sum is σ = 27525960. Its totient is φ = 4561920.

The previous prime is 11527823. The next prime is 11527861. The reversal of 11527840 is 4872511.

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 478864 = 3324^2 + 692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11527799 and 11527808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17110 + ... + 17770.

Almost surely, 2^11527840 is an apocalyptic number.

11527840 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 11527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762980).

11527840 is an abundant number, since it is smaller than the sum of its proper divisors (15998120).

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

11527840 is a wasteful number, since it uses less digits than its factorization.

11527840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 11527840 is about 3395.2672943378. The cubic root of 11527840 is about 225.8998694971.

The spelling of 11527840 in words is "eleven million, five hundred twenty-seven thousand, eight hundred forty".