705420 has 36 divisors (see below), whose sum is σ = 2140320. Its totient is φ = 188064.

The previous prime is 705409. The next prime is 705421. The reversal of 705420 is 24507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 705393 and 705402.

It is not an unprimeable number, because it can be changed into a prime (705421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1780 + ... + 2139.

2⁷⁰⁵⁴²⁰ is an apocalyptic number.

It is an amenable number.

705420 is an abundant number, since it is smaller than the sum of its proper divisors (1434900).

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

705420 is a wasteful number, since it uses less digits than its factorization.

705420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 705420 is about 839.8928503089. The cubic root of 705420 is about 89.0189750393.

Adding to 705420 its reverse (24507), we get a palindrome (729927).

The spelling of 705420 in words is "seven hundred five thousand, four hundred twenty".