706680 has 96 divisors (see below), whose sum is σ = 2489760. Its totient is φ = 172800.

The previous prime is 706679. The next prime is 706703. The reversal of 706680 is 86607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4605 + ... + 4755.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁷⁰⁶⁶⁸⁰ 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 706680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880).

706680 is an abundant number, since it is smaller than the sum of its proper divisors (1783080).

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

706680 is a wasteful number, since it uses less digits than its factorization.

706680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 706680 is about 840.6426113397. The cubic root of 706680 is about 89.0719445201.

The spelling of 706680 in words is "seven hundred six thousand, six hundred eighty".