12724968 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 3997952.

The previous prime is 12724967. The next prime is 12724981. The reversal of 12724968 is 86942721.

It is not an unprimeable number, because it can be changed into a prime (12724961) 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, 32518 + ... + 32906.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 2^12724968 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 12724968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

12724968 is an abundant number, since it is smaller than the sum of its proper divisors (20971032).

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

12724968 is a wasteful number, since it uses less digits than its factorization.

12724968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12724968 is about 3567.2073110488. The cubic root of 12724968 is about 233.4634503300.

The spelling of 12724968 in words is "twelve million, seven hundred twenty-four thousand, nine hundred sixty-eight".