11367216 has 150 divisors (see below), whose sum is σ = 38485260. Its totient is φ = 3229632.

The previous prime is 11367211. The next prime is 11367227. The reversal of 11367216 is 61276311.

11367216 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

11367216 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11367216.

It is not an unprimeable number, because it can be changed into a prime (11367211) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63415 + ... + 63593.

Almost surely, 2^11367216 is an apocalyptic number.

11367216 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 11367216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242630).

11367216 is an abundant number, since it is smaller than the sum of its proper divisors (27118044).

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

11367216 is a wasteful number, since it uses less digits than its factorization.

11367216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 11367216 is about 3371.5302163854. The cubic root of 11367216 is about 224.8457609589.

The spelling of 11367216 in words is "eleven million, three hundred sixty-seven thousand, two hundred sixteen".