705960 has 96 divisors (see below), whose sum is σ = 2400840. Its totient is φ = 179712.

The previous prime is 705949. The next prime is 705967. The reversal of 705960 is 69507.

705960 = T₁₃₆ + T₁₃₇ + ... + T₁₈₈.

705960 is a `hidden beast` number, since 70 + 596 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 695556 + 10404 = 834^2 + 102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705967) by changing a digit.

705960 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 23 ways as a sum of consecutive naturals, for example, 13294 + ... + 13346.

2⁷⁰⁵⁹⁶⁰ 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 705960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200420).

705960 is an abundant number, since it is smaller than the sum of its proper divisors (1694880).

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

705960 is a wasteful number, since it uses less digits than its factorization.

705960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 705960 is about 840.2142583889. The cubic root of 705960 is about 89.0416839625.

The spelling of 705960 in words is "seven hundred five thousand, nine hundred sixty".