12707968 has 64 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 5022720.

The previous prime is 12707953. The next prime is 12707971. The reversal of 12707968 is 86970721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12707968² = 322984901378048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12707968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11103 + ... + 12193.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^12707968 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 12707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).

12707968 is an abundant number, since it is smaller than the sum of its proper divisors (18479552).

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

12707968 is a wasteful number, since it uses less digits than its factorization.

12707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 12707968 is about 3564.8236983054. The cubic root of 12707968 is about 233.3594383491.

The spelling of 12707968 in words is "twelve million, seven hundred seven thousand, nine hundred sixty-eight".