1268057568 has 48 divisors (see below), whose sum is σ = 3503848320. Its totient is φ = 400438656.

The previous prime is 1268057563. The next prime is 1268057629. The reversal of 1268057568 is 8657508621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268057563) by changing a digit.

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, 345780 + ... + 349427.

It is an arithmetic number, because the mean of its divisors is an integer number (72996840).

Almost surely, 2^1268057568 is an apocalyptic number.

It is an amenable number.

1268057568 is an abundant number, since it is smaller than the sum of its proper divisors (2235790752).

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

1268057568 is a wasteful number, since it uses less digits than its factorization.

1268057568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695239 (or 695231 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 1268057568 is about 35609.7959556075. The cubic root of 1268057568 is about 1082.3797455962.

The spelling of 1268057568 in words is "one billion, two hundred sixty-eight million, fifty-seven thousand, five hundred sixty-eight".