706720 has 48 divisors (see below), whose sum is σ = 1911168. Its totient is φ = 241920.

The previous prime is 706709. The next prime is 706729. The reversal of 706720 is 27607.

It is a junction number, because it is equal to n+sod(n) for n = 706691 and 706700.

It is not an unprimeable number, because it can be changed into a prime (706729) by changing a digit.

706720 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 7 ways as a sum of consecutive naturals, for example, 805 + ... + 1435.

It is an arithmetic number, because the mean of its divisors is an integer number (39816).

2⁷⁰⁶⁷²⁰ is an apocalyptic number.

706720 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 706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955584).

706720 is an abundant number, since it is smaller than the sum of its proper divisors (1204448).

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

706720 is a wasteful number, since it uses less digits than its factorization.

706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 706720 is about 840.6664023262. Note that the first 3 decimals coincide. The cubic root of 706720 is about 89.0736250594.

The spelling of 706720 in words is "seven hundred six thousand, seven hundred twenty".