705811968 has 280 divisors, whose sum is σ = 2218387776. Its totient is φ = 223948800.

The previous prime is 705811913. The next prime is 705811979. The reversal of 705811968 is 869118507.

705811968 is a `hidden beast` number, since 7 + 0 + 581 + 1 + 9 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11570658 + ... + 11570718.

Almost surely, 2^705811968 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 705811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109193888).

705811968 is an abundant number, since it is smaller than the sum of its proper divisors (1512575808).

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

705811968 is an frugal number, since it uses more digits than its factorization.

705811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 705811968 is about 26567.1219367097. The cubic root of 705811968 is about 890.3545984217.

The spelling of 705811968 in words is "seven hundred five million, eight hundred eleven thousand, nine hundred sixty-eight".