705664 has 32 divisors (see below), whose sum is σ = 1453500. Its totient is φ = 340992.

The previous prime is 705643. The next prime is 705689. The reversal of 705664 is 466507.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 64 = 840^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

705664 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 3 ways as a sum of consecutive naturals, for example, 4662 + ... + 4810.

2⁷⁰⁵⁶⁶⁴ is an apocalyptic number.

705664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726750).

705664 is an abundant number, since it is smaller than the sum of its proper divisors (747836).

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

705664 is a wasteful number, since it uses less digits than its factorization.

705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 705664 is about 840.0380943743. The cubic root of 705664 is about 89.0292375430.

It can be divided in two parts, 7056 and 64, that multiplied together give a square (451584 = 672²).

The spelling of 705664 in words is "seven hundred five thousand, six hundred sixty-four".