705160 has 48 divisors (see below), whose sum is σ = 1713060. Its totient is φ = 261120.

The previous prime is 705137. The next prime is 705161. The reversal of 705160 is 61507.

It can be written as a sum of positive squares in 6 ways, for example, as 298116 + 407044 = 546^2 + 638^2 .

It is not an unprimeable number, because it can be changed into a prime (705161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11530 + ... + 11590.

2⁷⁰⁵¹⁶⁰ 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 705160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856530).

705160 is an abundant number, since it is smaller than the sum of its proper divisors (1007900).

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

705160 is a wasteful number, since it uses less digits than its factorization.

705160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 705160 is about 839.7380543955. The cubic root of 705160 is about 89.0080369799.

Adding to 705160 its reverse (61507), we get a palindrome (766667).

The spelling of 705160 in words is "seven hundred five thousand, one hundred sixty".