1283768860 has 72 divisors (see below), whose sum is σ = 2971528560. Its totient is φ = 465527040.

The previous prime is 1283768797. The next prime is 1283768861. The reversal of 1283768860 is 688673821.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283768861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497552 + ... + 1498408.

It is an arithmetic number, because the mean of its divisors is an integer number (41271230).

Almost surely, 2^1283768860 is an apocalyptic number.

1283768860 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 1283768860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485764280).

1283768860 is an abundant number, since it is smaller than the sum of its proper divisors (1687759700).

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

1283768860 is a wasteful number, since it uses less digits than its factorization.

1283768860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 1283768860 is about 35829.7203449873. The cubic root of 1283768860 is about 1086.8316545168.

The spelling of 1283768860 in words is "one billion, two hundred eighty-three million, seven hundred sixty-eight thousand, eight hundred sixty".