1280688864 has 192 divisors, whose sum is σ = 4271984640. Its totient is φ = 326799360.

The previous prime is 1280688821. The next prime is 1280688911. The reversal of 1280688864 is 4688860821.

It is a super-2 number, since 2×1280688864² = 3280327932747220992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268452 + ... + 273180.

It is an arithmetic number, because the mean of its divisors is an integer number (22249920).

Almost surely, 2^1280688864 is an apocalyptic number.

1280688864 is a gapful number since it is divisible by the number (14) 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 1280688864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135992320).

1280688864 is an abundant number, since it is smaller than the sum of its proper divisors (2991295776).

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

1280688864 is a wasteful number, since it uses less digits than its factorization.

1280688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 1280688864 is about 35786.7135121402. The cubic root of 1280688864 is about 1085.9617892670.

The spelling of 1280688864 in words is "one billion, two hundred eighty million, six hundred eighty-eight thousand, eight hundred sixty-four".