11853216 has 120 divisors (see below), whose sum is σ = 37047780. Its totient is φ = 3704832.

The previous prime is 11853203. The next prime is 11853217. The reversal of 11853216 is 61235811.

11853216 is a `hidden beast` number, since 118 + 532 + 16 = 666.

11853216 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 11696400 + 156816 = 3420^2 + 396^2 .

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 11853216.

It is not an unprimeable number, because it can be changed into a prime (11853217) 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, 43930 + ... + 44198.

Almost surely, 2^11853216 is an apocalyptic number.

11853216 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 11853216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523890).

11853216 is an abundant number, since it is smaller than the sum of its proper divisors (25194564).

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

11853216 is a wasteful number, since it uses less digits than its factorization.

11853216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11853216 is about 3442.8499822095. The cubic root of 11853216 is about 228.0055400316.

The spelling of 11853216 in words is "eleven million, eight hundred fifty-three thousand, two hundred sixteen".