12919968 has 72 divisors (see below), whose sum is σ = 37159668. Its totient is φ = 4257792.

The previous prime is 12919967. The next prime is 12919987. The reversal of 12919968 is 86991921.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 725904 = 3492^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (12919967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32346 + ... + 32742.

Almost surely, 2^12919968 is an apocalyptic number.

12919968 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 12919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579834).

12919968 is an abundant number, since it is smaller than the sum of its proper divisors (24239700).

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

12919968 is a wasteful number, since it uses less digits than its factorization.

12919968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 12919968 is about 3594.4356998005. The cubic root of 12919968 is about 234.6499572010.

The spelling of 12919968 in words is "twelve million, nine hundred nineteen thousand, nine hundred sixty-eight".