1284043680 has 144 divisors (see below), whose sum is σ = 4393194624. Its totient is φ = 341521920.

The previous prime is 1284043679. The next prime is 1284043721. The reversal of 1284043680 is 863404821.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 700365 + ... + 702195.

It is an arithmetic number, because the mean of its divisors is an integer number (30508296).

Almost surely, 2^1284043680 is an apocalyptic number.

1284043680 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 1284043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196597312).

1284043680 is an abundant number, since it is smaller than the sum of its proper divisors (3109150944).

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

1284043680 is a wasteful number, since it uses less digits than its factorization.

1284043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1284043680 is about 35833.5552241192. Note that the first 3 decimals coincide. The cubic root of 1284043680 is about 1086.9092026835.

The spelling of 1284043680 in words is "one billion, two hundred eighty-four million, forty-three thousand, six hundred eighty".