11827656 has 48 divisors (see below), whose sum is σ = 32570460. Its totient is φ = 3876480.

The previous prime is 11827609. The next prime is 11827663. The reversal of 11827656 is 65672811.

11827656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10458756 + 1368900 = 3234^2 + 1170^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11827656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3046 + ... + 5738.

Almost surely, 2^11827656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11827656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285230).

11827656 is an abundant number, since it is smaller than the sum of its proper divisors (20742804).

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

11827656 is a wasteful number, since it uses less digits than its factorization.

11827656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2759 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11827656 is about 3439.1359379937. The cubic root of 11827656 is about 227.8415334694.

The spelling of 11827656 in words is "eleven million, eight hundred twenty-seven thousand, six hundred fifty-six".