1268781696 has 576 divisors, whose sum is σ = 4853160000. Its totient is φ = 317011968.

The previous prime is 1268781673. The next prime is 1268781719. The reversal of 1268781696 is 6961878621.

It is an interprime number because it is at equal distance from previous prime (1268781673) and next prime (1268781719).

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 66777975 + ... + 66777993.

It is an arithmetic number, because the mean of its divisors is an integer number (8425625).

Almost surely, 2^1268781696 is an apocalyptic number.

1268781696 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 1268781696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426580000).

1268781696 is an abundant number, since it is smaller than the sum of its proper divisors (3584378304).

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

1268781696 is a wasteful number, since it uses less digits than its factorization.

1268781696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1268781696 is about 35619.9620437754. The cubic root of 1268781696 is about 1082.5857384349.

It can be divided in two parts, 126 and 8781696, that multiplied together give a square (1106493696 = 33264²).

The spelling of 1268781696 in words is "one billion, two hundred sixty-eight million, seven hundred eighty-one thousand, six hundred ninety-six".