706580 has 48 divisors (see below), whose sum is σ = 1747200. Its totient is φ = 239904.

The previous prime is 706561. The next prime is 706597. The reversal of 706580 is 85607.

It is a congruent number.

It is an unprimeable number.

706580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 6809 + ... + 6911.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2⁷⁰⁶⁵⁸⁰ is an apocalyptic number.

706580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873600).

706580 is an abundant number, since it is smaller than the sum of its proper divisors (1040620).

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

706580 is a wasteful number, since it uses less digits than its factorization.

706580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 706580 is about 840.5831309276. The cubic root of 706580 is about 89.0677428944.

The spelling of 706580 in words is "seven hundred six thousand, five hundred eighty".