705630 has 32 divisors (see below), whose sum is σ = 1736064. Its totient is φ = 183456.

The previous prime is 705613. The next prime is 705631. The reversal of 705630 is 36507.

705630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 705597 and 705606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705631) by changing a digit.

705630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (54252).

2⁷⁰⁵⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868032).

705630 is an abundant number, since it is smaller than the sum of its proper divisors (1030434).

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

705630 is a wasteful number, since it uses less digits than its factorization.

705630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 705630 is about 840.0178569531. The cubic root of 705630 is about 89.0278076639.

The spelling of 705630 in words is "seven hundred five thousand, six hundred thirty".