1268064000 has 864 divisors, whose sum is σ = 5670677376. Its totient is φ = 265420800.

The previous prime is 1268063987. The next prime is 1268064029. The reversal of 1268064000 is 4608621.

1268064000 is a `hidden beast` number, since 12 + 6 + 8 + 0 + 640 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 34271982 + ... + 34272018.

It is an arithmetic number, because the mean of its divisors is an integer number (6563284).

Almost surely, 2^1268064000 is an apocalyptic number.

1268064000 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 1268064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835338688).

1268064000 is an abundant number, since it is smaller than the sum of its proper divisors (4402613376).

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

1268064000 is a wasteful number, since it uses less digits than its factorization.

1268064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1268064000 is about 35609.8862677207. The cubic root of 1268064000 is about 1082.3815756537.

The spelling of 1268064000 in words is "one billion, two hundred sixty-eight million, sixty-four thousand".