1296856704 has 384 divisors, whose sum is σ = 4330267200. Its totient is φ = 340623360.

The previous prime is 1296856699. The next prime is 1296856709. The reversal of 1296856704 is 4076586921.

It is an interprime number because it is at equal distance from previous prime (1296856699) and next prime (1296856709).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1296856709) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11476552 + ... + 11476664.

Almost surely, 2^1296856704 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 1296856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165133600).

1296856704 is an abundant number, since it is smaller than the sum of its proper divisors (3033410496).

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

1296856704 is a wasteful number, since it uses less digits than its factorization.

1296856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1296856704 is about 36011.8967009515. The cubic root of 1296856704 is about 1090.5125395861.

The spelling of 1296856704 in words is "one billion, two hundred ninety-six million, eight hundred fifty-six thousand, seven hundred four".