1268544200 has 96 divisors (see below), whose sum is σ = 3677175360. Its totient is φ = 395385600.

The previous prime is 1268544157. The next prime is 1268544203. The reversal of 1268544200 is 24458621.

It is not an unprimeable number, because it can be changed into a prime (1268544203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25787 + ... + 56586.

It is an arithmetic number, because the mean of its divisors is an integer number (38303910).

Almost surely, 2^1268544200 is an apocalyptic number.

1268544200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268544200 is an abundant number, since it is smaller than the sum of its proper divisors (2408631160).

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

1268544200 is a wasteful number, since it uses less digits than its factorization.

1268544200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82407 (or 82398 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 1268544200 is about 35616.6281391150. The cubic root of 1268544200 is about 1082.5181865392.

The spelling of 1268544200 in words is "one billion, two hundred sixty-eight million, five hundred forty-four thousand, two hundred".