1268706816 has 120 divisors (see below), whose sum is σ = 3943419480. Its totient is φ = 390352896.

The previous prime is 1268706809. The next prime is 1268706827. The reversal of 1268706816 is 6186078621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49315 + ... + 70493.

It is an arithmetic number, because the mean of its divisors is an integer number (32861829).

Almost surely, 2^1268706816 is an apocalyptic number.

1268706816 is a gapful number since it is divisible by the number (16) 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 1268706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971709740).

1268706816 is an abundant number, since it is smaller than the sum of its proper divisors (2674712664).

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

1268706816 is a wasteful number, since it uses less digits than its factorization.

1268706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21216 (or 21197 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1268706816 is about 35618.9109322562. The cubic root of 1268706816 is about 1082.5644409401.

The spelling of 1268706816 in words is "one billion, two hundred sixty-eight million, seven hundred six thousand, eight hundred sixteen".