12968592 has 80 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3419136.

The previous prime is 12968581. The next prime is 12968617. The reversal of 12968592 is 29586921.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884 + ... + 5852.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^12968592 is an apocalyptic number.

12968592 is a gapful number since it is divisible by the number (12) 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 12968592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12968592 is an abundant number, since it is smaller than the sum of its proper divisors (28278768).

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

12968592 is a wasteful number, since it uses less digits than its factorization.

12968592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2994 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 12968592 is about 3601.1931356149. The cubic root of 12968592 is about 234.9439552483.

The spelling of 12968592 in words is "twelve million, nine hundred sixty-eight thousand, five hundred ninety-two".