706824 has 24 divisors (see below), whose sum is σ = 1914510. Its totient is φ = 235584.

The previous prime is 706801. The next prime is 706829. The reversal of 706824 is 428607.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 324900 = 618^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (706829) by changing a digit.

706824 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 5 ways as a sum of consecutive naturals, for example, 4837 + ... + 4980.

2⁷⁰⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

706824 is an abundant number, since it is smaller than the sum of its proper divisors (1207686).

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

706824 is a wasteful number, since it uses less digits than its factorization.

706824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 706824 is about 840.7282557402. The cubic root of 706824 is about 89.0779941649.

The spelling of 706824 in words is "seven hundred six thousand, eight hundred twenty-four".