706816640 has 64 divisors (see below), whose sum is σ = 1708857000. Its totient is φ = 279527424.

The previous prime is 706816631. The next prime is 706816651. The reversal of 706816640 is 46618607.

It can be written as a sum of positive squares in 4 ways, for example, as 246113344 + 460703296 = 15688^2 + 21464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 706816594 and 706816603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50756 + ... + 63164.

Almost surely, 2^706816640 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 706816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854428500).

706816640 is an abundant number, since it is smaller than the sum of its proper divisors (1002040360).

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

706816640 is a wasteful number, since it uses less digits than its factorization.

706816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 706816640 is about 26586.0233957619. The cubic root of 706816640 is about 890.7768498076.

The spelling of 706816640 in words is "seven hundred six million, eight hundred sixteen thousand, six hundred forty".