11645856 has 60 divisors (see below), whose sum is σ = 34257762. Its totient is φ = 3881088.

The previous prime is 11645831. The next prime is 11645857. The reversal of 11645856 is 65854611.

11645856 is a `hidden beast` number, since 1 + 1 + 645 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 5475600 = 2484^2 + 2340^2 .

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 11645856.

It is not an unprimeable number, because it can be changed into a prime (11645857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 346 + ... + 4838.

Almost surely, 2^11645856 is an apocalyptic number.

11645856 is a gapful number since it is divisible by the number (16) 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 11645856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128881).

11645856 is an abundant number, since it is smaller than the sum of its proper divisors (22611906).

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

11645856 is an equidigital number, since it uses as much as digits as its factorization.

11645856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4498 counting only the distinct ones).

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

The square root of 11645856 is about 3412.6025259324. The cubic root of 11645856 is about 226.6681353230.

The spelling of 11645856 in words is "eleven million, six hundred forty-five thousand, eight hundred fifty-six".