706200 has 96 divisors (see below), whose sum is σ = 2410560. Its totient is φ = 169600.

The previous prime is 706193. The next prime is 706201. The reversal of 706200 is 2607.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 706200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706201) by changing a digit.

706200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6547 + ... + 6653.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁷⁰⁶²⁰⁰ 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 706200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280).

706200 is an abundant number, since it is smaller than the sum of its proper divisors (1704360).

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

706200 is a wasteful number, since it uses less digits than its factorization.

706200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 706200 is about 840.3570669662. The cubic root of 706200 is about 89.0517731002.

Adding to 706200 its reverse (2607), we get a palindrome (708807).

The spelling of 706200 in words is "seven hundred six thousand, two hundred".