12965568 has 112 divisors (see below), whose sum is σ = 42818304. Its totient is φ = 3363840.

The previous prime is 12965567. The next prime is 12965569. The reversal of 12965568 is 86556921.

It is an interprime number because it is at equal distance from previous prime (12965567) and next prime (12965569).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (129600) is a multiple of the sum of its prime divisors (900).

It is not an unprimeable number, because it can be changed into a prime (12965567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14346 + ... + 15222.

Almost surely, 2^12965568 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 12965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409152).

12965568 is an abundant number, since it is smaller than the sum of its proper divisors (29852736).

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

12965568 is a wasteful number, since it uses less digits than its factorization.

12965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 12965568 is about 3600.7732502894. The cubic root of 12965568 is about 234.9256925166.

The spelling of 12965568 in words is "twelve million, nine hundred sixty-five thousand, five hundred sixty-eight".