705684 has 48 divisors (see below), whose sum is σ = 1949696. Its totient is φ = 194400.

The previous prime is 705643. The next prime is 705689. The reversal of 705684 is 486507.

It is a happy number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469 + ... + 2739.

2⁷⁰⁵⁶⁸⁴ 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 705684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974848).

705684 is an abundant number, since it is smaller than the sum of its proper divisors (1244012).

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

705684 is a wasteful number, since it uses less digits than its factorization.

705684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 705684 is about 840.0499985120. The cubic root of 705684 is about 89.0300786269.

It can be divided in two parts, 7056 and 84, that multiplied together give a cube (592704 = 84³).

The spelling of 705684 in words is "seven hundred five thousand, six hundred eighty-four".