705718656 has 128 divisors (see below), whose sum is σ = 2109400800. Its totient is φ = 235146240.

The previous prime is 705718639. The next prime is 705718661. The reversal of 705718656 is 656817507.

705718656 is a `hidden beast` number, since 70 + 571 + 8 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278676 + ... + 281196.

Almost surely, 2^705718656 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 705718656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054700400).

705718656 is an abundant number, since it is smaller than the sum of its proper divisors (1403682144).

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

705718656 is an frugal number, since it uses more digits than its factorization.

705718656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 705718656 is about 26565.3657230613. The cubic root of 705718656 is about 890.3153601951.

The spelling of 705718656 in words is "seven hundred five million, seven hundred eighteen thousand, six hundred fifty-six".