12793968 has 120 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 3763200.

The previous prime is 12793961. The next prime is 12793969. The reversal of 12793968 is 86939721.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12793961) 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, 64846 + ... + 65042.

Almost surely, 2^12793968 is an apocalyptic number.

12793968 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 12793968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

12793968 is an abundant number, since it is smaller than the sum of its proper divisors (27422208).

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

12793968 is a wasteful number, since it uses less digits than its factorization.

12793968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 12793968 is about 3576.8656670331. The cubic root of 12793968 is about 233.8846681272.

Subtracting 12793968 from its reverse (86939721), we obtain a triangular number (74145753 = T₁₂₁₇₇).

The spelling of 12793968 in words is "twelve million, seven hundred ninety-three thousand, nine hundred sixty-eight".