11799216 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3283200.

The previous prime is 11799187. The next prime is 11799217. The reversal of 11799216 is 61299711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11799217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61681 + ... + 61871.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^11799216 is an apocalyptic number.

11799216 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 11799216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

11799216 is an abundant number, since it is smaller than the sum of its proper divisors (28198224).

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

11799216 is a wasteful number, since it uses less digits than its factorization.

11799216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11799216 is about 3434.9986899561. The cubic root of 11799216 is about 227.6587693386.

The spelling of 11799216 in words is "eleven million, seven hundred ninety-nine thousand, two hundred sixteen".