706000 has 40 divisors (see below), whose sum is σ = 1711944. Its totient is φ = 281600.

The previous prime is 705989. The next prime is 706001. The reversal of 706000 is 607.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 659344 = 216^2 + 812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1824 + ... + 2176.

2⁷⁰⁶⁰⁰⁰ 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 706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855972).

706000 is an abundant number, since it is smaller than the sum of its proper divisors (1005944).

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

706000 is a wasteful number, since it uses less digits than its factorization.

706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 706000 is about 840.2380615040. The cubic root of 706000 is about 89.0433656442.

Adding to 706000 its reverse (607), we get a palindrome (706607).

The spelling of 706000 in words is "seven hundred six thousand".