706716160 has 80 divisors (see below), whose sum is σ = 1723550400. Its totient is φ = 277835776.

The previous prime is 706716113. The next prime is 706716161. The reversal of 706716160 is 61617607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (706716161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148701 + ... + 153379.

It is an arithmetic number, because the mean of its divisors is an integer number (21544380).

Almost surely, 2^706716160 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 706716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

706716160 is an abundant number, since it is smaller than the sum of its proper divisors (1016834240).

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

706716160 is an equidigital number, since it uses as much as digits as its factorization.

706716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 706716160 is about 26584.1336138683. The cubic root of 706716160 is about 890.7346373042.

The spelling of 706716160 in words is "seven hundred six million, seven hundred sixteen thousand, one hundred sixty".