12967416 has 96 divisors (see below), whose sum is σ = 43804800. Its totient is φ = 3366720.

The previous prime is 12967411. The next prime is 12967421. The reversal of 12967416 is 61476921.

It is an interprime number because it is at equal distance from previous prime (12967411) and next prime (12967421).

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

It is a nude number because it is divisible by every one of its digits.

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 (12967411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4375 + ... + 6713.

It is an arithmetic number, because the mean of its divisors is an integer number (456300).

Almost surely, 2^12967416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12967416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

12967416 is an abundant number, since it is smaller than the sum of its proper divisors (30837384).

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

12967416 is a wasteful number, since it uses less digits than its factorization.

12967416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2362 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12967416 is about 3601.0298526949. The cubic root of 12967416 is about 234.9368534122.

The spelling of 12967416 in words is "twelve million, nine hundred sixty-seven thousand, four hundred sixteen".