705920 has 32 divisors (see below), whose sum is σ = 1689120. Its totient is φ = 282112.

The previous prime is 705919. The next prime is 705937. The reversal of 705920 is 29507.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705920.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 89 + ... + 1191.

It is an arithmetic number, because the mean of its divisors is an integer number (52785).

2⁷⁰⁵⁹²⁰ 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 705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844560).

705920 is an abundant number, since it is smaller than the sum of its proper divisors (983200).

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

705920 is a wasteful number, since it uses less digits than its factorization.

705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 705920 is about 840.1904545994. The cubic root of 705920 is about 89.0400022173.

The spelling of 705920 in words is "seven hundred five thousand, nine hundred twenty".