705616128 has 216 divisors, whose sum is σ = 2363419968. Its totient is φ = 198291456.

The previous prime is 705616063. The next prime is 705616157. The reversal of 705616128 is 821616507.

705616128 is a `hidden beast` number, since 70 + 561 + 6 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 705616092 and 705616101.

It is an unprimeable number.

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, 1080250 + ... + 1080902.

Almost surely, 2^705616128 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 705616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181709984).

705616128 is an abundant number, since it is smaller than the sum of its proper divisors (1657803840).

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

705616128 is a wasteful number, since it uses less digits than its factorization.

705616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 705616128 is about 26563.4359223350. The cubic root of 705616128 is about 890.2722425998.

The spelling of 705616128 in words is "seven hundred five million, six hundred sixteen thousand, one hundred twenty-eight".