1268712648 has 192 divisors, whose sum is σ = 4131878400. Its totient is φ = 344010240.

The previous prime is 1268712617. The next prime is 1268712659. The reversal of 1268712648 is 8462178621.

It is a super-4 number, since 4×1268712648⁴ (a number of 38 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890865 + ... + 892287.

It is an arithmetic number, because the mean of its divisors is an integer number (21520200).

Almost surely, 2^1268712648 is an apocalyptic number.

1268712648 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 1268712648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065939200).

1268712648 is an abundant number, since it is smaller than the sum of its proper divisors (2863165752).

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

1268712648 is a wasteful number, since it uses less digits than its factorization.

1268712648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1525 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1268712648 is about 35618.9927987864. The cubic root of 1268712648 is about 1082.5660997174.

The spelling of 1268712648 in words is "one billion, two hundred sixty-eight million, seven hundred twelve thousand, six hundred forty-eight".