1284834096 has 640 divisors, whose sum is σ = 4999680000. Its totient is φ = 312947712.

The previous prime is 1284834043. The next prime is 1284834113. The reversal of 1284834096 is 6904384821.

It is a happy number.

1284834096 is a `hidden beast` number, since 128 + 483 + 40 + 9 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 44304610 + ... + 44304638.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^1284834096 is an apocalyptic number.

1284834096 is a gapful number since it is divisible by the number (16) 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 1284834096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840000).

1284834096 is an abundant number, since it is smaller than the sum of its proper divisors (3714845904).

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

1284834096 is a wasteful number, since it uses less digits than its factorization.

1284834096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1284834096 is about 35844.5825195384. The cubic root of 1284834096 is about 1087.1321790556.

The spelling of 1284834096 in words is "one billion, two hundred eighty-four million, eight hundred thirty-four thousand, ninety-six".