11864556 has 60 divisors (see below), whose sum is σ = 33846120. Its totient is φ = 3594240.

The previous prime is 11864551. The next prime is 11864557. The reversal of 11864556 is 65546811.

11864556 is a `hidden beast` number, since 1 + 1 + 8 + 645 + 5 + 6 = 666.

11864556 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 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 11864556.

It is not an unprimeable number, because it can be changed into a prime (11864551) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1900 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (564102).

Almost surely, 2^11864556 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 11864556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16923060).

11864556 is an abundant number, since it is smaller than the sum of its proper divisors (21981564).

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

11864556 is a wasteful number, since it uses less digits than its factorization.

11864556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3345 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 11864556 is about 3444.4964798937. The cubic root of 11864556 is about 228.0782280041.

The spelling of 11864556 in words is "eleven million, eight hundred sixty-four thousand, five hundred fifty-six".