12968640 has 224 divisors, whose sum is σ = 48768000. Its totient is φ = 3234816.

The previous prime is 12968639. The next prime is 12968651. The reversal of 12968640 is 4686921.

12968640 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 8 + 640 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 12968595 and 12968604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164121 + ... + 164199.

Almost surely, 2^12968640 is an apocalyptic number.

12968640 is a gapful number since it is divisible by the number (10) 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 12968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384000).

12968640 is an abundant number, since it is smaller than the sum of its proper divisors (35799360).

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

12968640 is a wasteful number, since it uses less digits than its factorization.

12968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12968640 is about 3601.1998000666. The cubic root of 12968640 is about 234.9442451100.

The spelling of 12968640 in words is "twelve million, nine hundred sixty-eight thousand, six hundred forty".