12767216 has 80 divisors (see below), whose sum is σ = 31688448. Its totient is φ = 4838400.

The previous prime is 12767203. The next prime is 12767219. The reversal of 12767216 is 61276721.

12767216 = T₇₄₉ + T₇₅₀ + ... + T₇₉₁.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12767219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52856 + ... + 53096.

Almost surely, 2^12767216 is an apocalyptic number.

12767216 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 12767216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844224).

12767216 is an abundant number, since it is smaller than the sum of its proper divisors (18921232).

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

12767216 is a wasteful number, since it uses less digits than its factorization.

12767216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 12767216 is about 3573.1241232289. The cubic root of 12767216 is about 233.7215378997.

The spelling of 12767216 in words is "twelve million, seven hundred sixty-seven thousand, two hundred sixteen".