1284768000 has 288 divisors, whose sum is σ = 4744696320. Its totient is φ = 342374400.

The previous prime is 1284767989. The next prime is 1284768041. The reversal of 1284768000 is 8674821.

It is a tau number, because it is divible by the number of its divisors (288).

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 (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863257 + ... + 864743.

It is an arithmetic number, because the mean of its divisors is an integer number (16474640).

Almost surely, 2^1284768000 is an apocalyptic number.

1284768000 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 1284768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372348160).

1284768000 is an abundant number, since it is smaller than the sum of its proper divisors (3459928320).

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

1284768000 is an equidigital number, since it uses as much as digits as its factorization.

1284768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1284768000 is about 35843.6605273513. The cubic root of 1284768000 is about 1087.1135368769.

The spelling of 1284768000 in words is "one billion, two hundred eighty-four million, seven hundred sixty-eight thousand".