706600 has 24 divisors (see below), whose sum is σ = 1643310. Its totient is φ = 282560.

The previous prime is 706597. The next prime is 706603. The reversal of 706600 is 6607.

It is an interprime number because it is at equal distance from previous prime (706597) and next prime (706603).

It can be written as a sum of positive squares in 3 ways, for example, as 617796 + 88804 = 786^2 + 298^2 .

It is not an unprimeable number, because it can be changed into a prime (706603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1567 + ... + 1966.

2⁷⁰⁶⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

706600 is an abundant number, since it is smaller than the sum of its proper divisors (936710).

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

706600 is a wasteful number, since it uses less digits than its factorization.

706600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 706600 is about 840.5950273467. The cubic root of 706600 is about 89.0685832513.

It can be divided in two parts, 70 and 6600, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 706600 in words is "seven hundred six thousand, six hundred".