11829216 has 96 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 3257856.

The previous prime is 11829211. The next prime is 11829217. The reversal of 11829216 is 61292811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11829211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19185 + ... + 19791.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^11829216 is an apocalyptic number.

11829216 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 11829216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

11829216 is an abundant number, since it is smaller than the sum of its proper divisors (24942624).

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

11829216 is a wasteful number, since it uses less digits than its factorization.

11829216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 11829216 is about 3439.3627316699. The cubic root of 11829216 is about 227.8515500262.

The spelling of 11829216 in words is "eleven million, eight hundred twenty-nine thousand, two hundred sixteen".