12883968 has 96 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 4276224.

The previous prime is 12883951. The next prime is 12884017. The reversal of 12883968 is 86938821.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 55180 + ... + 55412.

Almost surely, 2^12883968 is an apocalyptic number.

12883968 is a gapful number since it is divisible by the number (18) 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 12883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

12883968 is an abundant number, since it is smaller than the sum of its proper divisors (25445232).

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

12883968 is an equidigital number, since it uses as much as digits as its factorization.

12883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12883968 is about 3589.4244664013. The cubic root of 12883968 is about 234.4318127874.

The spelling of 12883968 in words is "twelve million, eight hundred eighty-three thousand, nine hundred sixty-eight".