11667216 has 80 divisors (see below), whose sum is σ = 34640640. Its totient is φ = 3346560.

The previous prime is 11667211. The next prime is 11667221. The reversal of 11667216 is 61276611.

It is an interprime number because it is at equal distance from previous prime (11667211) and next prime (11667221).

It is a super-2 number, since 2×11667216² = 272247858381312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11667211) 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, 9451 + ... + 10613.

It is an arithmetic number, because the mean of its divisors is an integer number (433008).

Almost surely, 2^11667216 is an apocalyptic number.

11667216 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 11667216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320320).

11667216 is an abundant number, since it is smaller than the sum of its proper divisors (22973424).

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

11667216 is a wasteful number, since it uses less digits than its factorization.

11667216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1198 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 11667216 is about 3415.7306685393. The cubic root of 11667216 is about 226.8066302041.

The spelling of 11667216 in words is "eleven million, six hundred sixty-seven thousand, two hundred sixteen".