12968000 has 56 divisors (see below), whose sum is σ = 32135064. Its totient is φ = 5184000.

The previous prime is 12967973. The next prime is 12968029. The reversal of 12968000 is 86921.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 12902464 = 256^2 + 3592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7190 + ... + 8810.

Almost surely, 2^12968000 is an apocalyptic number.

12968000 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 12968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067532).

12968000 is an abundant number, since it is smaller than the sum of its proper divisors (19167064).

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

12968000 is an equidigital number, since it uses as much as digits as its factorization.

12968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 12968000 is about 3601.1109396962. The cubic root of 12968000 is about 234.9403802280.

The spelling of 12968000 in words is "twelve million, nine hundred sixty-eight thousand".