1284847872 has 144 divisors (see below), whose sum is σ = 4263555072. Its totient is φ = 333711360.

The previous prime is 1284847799. The next prime is 1284847891. The reversal of 1284847872 is 2787484821.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48273 + ... + 69999.

Almost surely, 2^1284847872 is an apocalyptic number.

1284847872 is a gapful number since it is divisible by the number (12) 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 1284847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131777536).

1284847872 is an abundant number, since it is smaller than the sum of its proper divisors (2978707200).

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

1284847872 is a wasteful number, since it uses less digits than its factorization.

1284847872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21764 (or 21750 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 51.

The square root of 1284847872 is about 35844.7746819533. The cubic root of 1284847872 is about 1087.1360644546.

The spelling of 1284847872 in words is "one billion, two hundred eighty-four million, eight hundred forty-seven thousand, eight hundred seventy-two".