12947616 has 144 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 3801600.

The previous prime is 12947587. The next prime is 12947621. The reversal of 12947616 is 61674921.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193215 + ... + 193281.

It is an arithmetic number, because the mean of its divisors is an integer number (287742).

Almost surely, 2^12947616 is an apocalyptic number.

12947616 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 12947616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424).

12947616 is an abundant number, since it is smaller than the sum of its proper divisors (28487232).

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

12947616 is a wasteful number, since it uses less digits than its factorization.

12947616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

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

The square root of 12947616 is about 3598.2795889147. The cubic root of 12947616 is about 234.8172171562.

The spelling of 12947616 in words is "twelve million, nine hundred forty-seven thousand, six hundred sixteen".