1281668960 has 288 divisors, whose sum is σ = 3718794240. Its totient is φ = 413337600.

The previous prime is 1281668917. The next prime is 1281668989. The reversal of 1281668960 is 698661821.

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, 9220571 + ... + 9220709.

It is an arithmetic number, because the mean of its divisors is an integer number (12912480).

Almost surely, 2^1281668960 is an apocalyptic number.

1281668960 is a gapful number since it is divisible by the number (10) 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 1281668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859397120).

1281668960 is an abundant number, since it is smaller than the sum of its proper divisors (2437125280).

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

1281668960 is a wasteful number, since it uses less digits than its factorization.

1281668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 1281668960 is about 35800.4044669889. The cubic root of 1281668960 is about 1086.2387431889.

The spelling of 1281668960 in words is "one billion, two hundred eighty-one million, six hundred sixty-eight thousand, nine hundred sixty".