1268244768 has 192 divisors, whose sum is σ = 3909814272. Its totient is φ = 352512000.

The previous prime is 1268244767. The next prime is 1268244773. The reversal of 1268244768 is 8674428621.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1268244763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5052643 + ... + 5052893.

It is an arithmetic number, because the mean of its divisors is an integer number (20363616).

Almost surely, 2^1268244768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268244768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954907136).

1268244768 is an abundant number, since it is smaller than the sum of its proper divisors (2641569504).

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

1268244768 is a wasteful number, since it uses less digits than its factorization.

1268244768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 1268244768 is about 35612.4243488140. The cubic root of 1268244768 is about 1082.4330059328.

The spelling of 1268244768 in words is "one billion, two hundred sixty-eight million, two hundred forty-four thousand, seven hundred sixty-eight".