1268563968 has 180 divisors, whose sum is σ = 4191554640. Its totient is φ = 362151936.

The previous prime is 1268563951. The next prime is 1268563969. The reversal of 1268563968 is 8693658621.

It is a happy number.

1268563968 is a `hidden beast` number, since 12 + 6 + 8 + 563 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1268563969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1031578 + ... + 1032806.

Almost surely, 2^1268563968 is an apocalyptic number.

1268563968 is a gapful number since it is divisible by the number (18) 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 1268563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095777320).

1268563968 is an abundant number, since it is smaller than the sum of its proper divisors (2922990672).

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

1268563968 is an equidigital number, since it uses as much as digits as its factorization.

1268563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1241 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1268563968 is about 35616.9056488629. The cubic root of 1268563968 is about 1082.5238095487.

The spelling of 1268563968 in words is "one billion, two hundred sixty-eight million, five hundred sixty-three thousand, nine hundred sixty-eight".