1280824056 has 64 divisors (see below), whose sum is σ = 3577610400. Its totient is φ = 424582560.

The previous prime is 1280824049. The next prime is 1280824087. The reversal of 1280824056 is 6504280821.

The cubic root of 1280824056 is 1086.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×1280824056² = 3281020524856582272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1280824056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7076286 + ... + 7076466.

Almost surely, 2^1280824056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1280824056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788805200).

1280824056 is an abundant number, since it is smaller than the sum of its proper divisors (2296786344).

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

1280824056 is an frugal number, since it uses more digits than its factorization.

1280824056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1280824056 is about 35788.6023197330.

It can be divided in two parts, 12808 and 24056, that added together give a square (36864 = 192²).

The spelling of 1280824056 in words is "one billion, two hundred eighty million, eight hundred twenty-four thousand, fifty-six".