12568000 has 56 divisors (see below), whose sum is σ = 31144464. Its totient is φ = 5024000.

The previous prime is 12567983. The next prime is 12568021. The reversal of 12568000 is 86521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7215 + ... + 8785.

Almost surely, 2^12568000 is an apocalyptic number.

12568000 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 12568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572232).

12568000 is an abundant number, since it is smaller than the sum of its proper divisors (18576464).

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

12568000 is an equidigital number, since it uses as much as digits as its factorization.

12568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12568000 is about 3545.1375149633. The cubic root of 12568000 is about 232.4995182477.

The spelling of 12568000 in words is "twelve million, five hundred sixty-eight thousand".