11745216 has 112 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 3352320.

The previous prime is 11745199. The next prime is 11745221. The reversal of 11745216 is 61254711.

It is a happy number.

11745216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11745216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11611 + ... + 12581.

Almost surely, 2^11745216 is an apocalyptic number.

11745216 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 11745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

11745216 is an abundant number, since it is smaller than the sum of its proper divisors (27756864).

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

11745216 is an equidigital number, since it uses as much as digits as its factorization.

11745216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 983 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 11745216 is about 3427.1294110378. The cubic root of 11745216 is about 227.3109390102.

Adding to 11745216 its reverse (61254711), we get a palindrome (72999927).

The spelling of 11745216 in words is "eleven million, seven hundred forty-five thousand, two hundred sixteen".