1268896608 has 288 divisors, whose sum is σ = 4389315840. Its totient is φ = 339655680.

The previous prime is 1268896583. The next prime is 1268896661. The reversal of 1268896608 is 8066988621.

It is a happy number.

1268896608 is a `hidden beast` number, since 1 + 26 + 8 + 8 + 9 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1268896608² = 3220197203587811328, which contains 22 as substring.

It is a congruent number.

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, 6013623 + ... + 6013833.

It is an arithmetic number, because the mean of its divisors is an integer number (15240680).

Almost surely, 2^1268896608 is an apocalyptic number.

1268896608 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 1268896608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194657920).

1268896608 is an abundant number, since it is smaller than the sum of its proper divisors (3120419232).

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

1268896608 is a wasteful number, since it uses less digits than its factorization.

1268896608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1268896608 is about 35621.5750353630. The cubic root of 1268896608 is about 1082.6184202686.

The spelling of 1268896608 in words is "one billion, two hundred sixty-eight million, eight hundred ninety-six thousand, six hundred eight".