1283576268 has 96 divisors (see below), whose sum is σ = 3273984000. Its totient is φ = 389055744.

The previous prime is 1283576257. The next prime is 1283576291. The reversal of 1283576268 is 8626753821.

It is a super-3 number, since 3×1283576268³ (a number of 28 digits) contains 333 as substring.

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, 5370493 + ... + 5370731.

It is an arithmetic number, because the mean of its divisors is an integer number (34104000).

Almost surely, 2^1283576268 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 1283576268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636992000).

1283576268 is an abundant number, since it is smaller than the sum of its proper divisors (1990407732).

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

1283576268 is a wasteful number, since it uses less digits than its factorization.

1283576268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 1283576268 is about 35827.0326429639. The cubic root of 1283576268 is about 1086.7773026895. Note that the first 3 decimals are identical.

The spelling of 1283576268 in words is "one billion, two hundred eighty-three million, five hundred seventy-six thousand, two hundred sixty-eight".