11885216 has 48 divisors (see below), whose sum is σ = 27066816. Its totient is φ = 5031936.

The previous prime is 11885213. The next prime is 11885221. The reversal of 11885216 is 61258811.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11885213) 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 7 ways as a sum of consecutive naturals, for example, 21455 + ... + 22001.

It is an arithmetic number, because the mean of its divisors is an integer number (563892).

Almost surely, 2^11885216 is an apocalyptic number.

11885216 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 11885216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533408).

11885216 is an abundant number, since it is smaller than the sum of its proper divisors (15181600).

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

11885216 is an equidigital number, since it uses as much as digits as its factorization.

11885216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its digits is 3840, while the sum is 32.

The square root of 11885216 is about 3447.4941624316. The cubic root of 11885216 is about 228.2105370357.

Subtracting from 11885216 its product of digits (3840), we obtain a 5-th power (11881376 = 26⁵).

The spelling of 11885216 in words is "eleven million, eight hundred eighty-five thousand, two hundred sixteen".