705636352 has 72 divisors (see below), whose sum is σ = 1473094350. Its totient is φ = 337526784.

The previous prime is 705636319. The next prime is 705636359. The reversal of 705636352 is 253636507.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 683508736 + 22127616 = 26144^2 + 4704^2 .

It is a super-2 number, since 2×705636352² = 995845322527735808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (705636359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6473674 + ... + 6473782.

Almost surely, 2^705636352 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 705636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736547175).

705636352 is an abundant number, since it is smaller than the sum of its proper divisors (767457998).

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

705636352 is an equidigital number, since it uses as much as digits as its factorization.

705636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 37.

The square root of 705636352 is about 26563.8165932533. The cubic root of 705636352 is about 890.2807480242.

The spelling of 705636352 in words is "seven hundred five million, six hundred thirty-six thousand, three hundred fifty-two".