12968424 has 96 divisors (see below), whose sum is σ = 41670720. Its totient is φ = 3701376.

The previous prime is 12968407. The next prime is 12968429. The reversal of 12968424 is 42486921.

12968424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (12968429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13132 + ... + 14084.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^12968424 is an apocalyptic number.

12968424 is a gapful number since it is divisible by the number (14) 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 12968424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835360).

12968424 is an abundant number, since it is smaller than the sum of its proper divisors (28702296).

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

12968424 is an equidigital number, since it uses as much as digits as its factorization.

12968424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 965 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12968424 is about 3601.1698099368. The cubic root of 12968424 is about 234.9429407266.

The spelling of 12968424 in words is "twelve million, nine hundred sixty-eight thousand, four hundred twenty-four".