706433600 has 84 divisors (see below), whose sum is σ = 1785398004. Its totient is φ = 274913280.

The previous prime is 706433597. The next prime is 706433603. The reversal of 706433600 is 6334607.

It is an interprime number because it is at equal distance from previous prime (706433597) and next prime (706433603).

It can be written as a sum of positive squares in 6 ways, for example, as 52301824 + 654131776 = 7232^2 + 25576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706433603) 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 11 ways as a sum of consecutive naturals, for example, 53234 + ... + 65166.

Almost surely, 2^706433600 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 706433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892699002).

706433600 is an abundant number, since it is smaller than the sum of its proper divisors (1078964404).

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

706433600 is a wasteful number, since it uses less digits than its factorization.

706433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 706433600 is about 26578.8186343938. The cubic root of 706433600 is about 890.6159099924.

The spelling of 706433600 in words is "seven hundred six million, four hundred thirty-three thousand, six hundred".