1284679680 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 309657600.

The previous prime is 1284679679. The next prime is 1284679801. The reversal of 1284679680 is 869764821.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18094045 + ... + 18094115.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1284679680 is an apocalyptic number.

1284679680 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 1284679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1284679680 is an abundant number, since it is smaller than the sum of its proper divisors (3244062720).

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

1284679680 is a wasteful number, since it uses less digits than its factorization.

1284679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

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

The square root of 1284679680 is about 35842.4284891523. The cubic root of 1284679680 is about 1087.0886254875.

The spelling of 1284679680 in words is "one billion, two hundred eighty-four million, six hundred seventy-nine thousand, six hundred eighty".