1284960768 has 320 divisors, whose sum is σ = 4372220160. Its totient is φ = 326172672.

The previous prime is 1284960767. The next prime is 1284960799. The reversal of 1284960768 is 8670694821.

It is a super-2 number, since 2×1284960768² = 3302248350598299648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1284960768.

It is not an unprimeable number, because it can be changed into a prime (1284960767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053346 + ... + 4053662.

It is an arithmetic number, because the mean of its divisors is an integer number (13663188).

Almost surely, 2^1284960768 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 1284960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186110080).

1284960768 is an abundant number, since it is smaller than the sum of its proper divisors (3087259392).

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

1284960768 is a wasteful number, since it uses less digits than its factorization.

1284960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 1284960768 is about 35846.3494375648. The cubic root of 1284960768 is about 1087.1679047270.

The spelling of 1284960768 in words is "one billion, two hundred eighty-four million, nine hundred sixty thousand, seven hundred sixty-eight".