705279168 has 168 divisors, whose sum is σ = 2222510160. Its totient is φ = 212060160.

The previous prime is 705279161. The next prime is 705279203. The reversal of 705279168 is 861972507.

It is not an unprimeable number, because it can be changed into a prime (705279161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 994398 + ... + 995106.

Almost surely, 2^705279168 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 705279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111255080).

705279168 is an abundant number, since it is smaller than the sum of its proper divisors (1517230992).

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

705279168 is a wasteful number, since it uses less digits than its factorization.

705279168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 705279168 is about 26557.0926119559. The cubic root of 705279168 is about 890.1305064691.

The spelling of 705279168 in words is "seven hundred five million, two hundred seventy-nine thousand, one hundred sixty-eight".