705570 has 32 divisors (see below), whose sum is σ = 1753920. Its totient is φ = 181440.

The previous prime is 705559. The next prime is 705613. The reversal of 705570 is 75507.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 705570.

It is an unprimeable number.

705570 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, 465 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (54810).

2⁷⁰⁵⁵⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960).

705570 is an abundant number, since it is smaller than the sum of its proper divisors (1048350).

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

705570 is a wasteful number, since it uses less digits than its factorization.

705570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 705570 is about 839.9821426673. The cubic root of 705570 is about 89.0252842357.

It can be divided in two parts, 705 and 570, that added together give a triangular number (1275 = T₅₀).

The spelling of 705570 in words is "seven hundred five thousand, five hundred seventy".