705800568 has 128 divisors (see below), whose sum is σ = 1987856640. Its totient is φ = 206976000.

The previous prime is 705800549. The next prime is 705800587. The reversal of 705800568 is 865008507.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (705800549) and next prime (705800587).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2132163 + ... + 2132493.

It is an arithmetic number, because the mean of its divisors is an integer number (15530130).

Almost surely, 2^705800568 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 705800568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993928320).

705800568 is an abundant number, since it is smaller than the sum of its proper divisors (1282056072).

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

705800568 is a wasteful number, since it uses less digits than its factorization.

705800568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 705800568 is about 26566.9073849404. The cubic root of 705800568 is about 890.3498048423.

The spelling of 705800568 in words is "seven hundred five million, eight hundred thousand, five hundred sixty-eight".