705136608 has 144 divisors (see below), whose sum is σ = 2316380976. Its totient is φ = 201093120.

The previous prime is 705136583. The next prime is 705136613. The reversal of 705136608 is 806631507.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 47310 + ... + 60402.

It is an arithmetic number, because the mean of its divisors is an integer number (16085979).

Almost surely, 2^705136608 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 705136608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158190488).

705136608 is an abundant number, since it is smaller than the sum of its proper divisors (1611244368).

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

705136608 is a wasteful number, since it uses less digits than its factorization.

705136608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 705136608 is about 26554.4084475629. The cubic root of 705136608 is about 890.0705275928.

The spelling of 705136608 in words is "seven hundred five million, one hundred thirty-six thousand, six hundred eight".