705620 has 12 divisors (see below), whose sum is σ = 1481844. Its totient is φ = 282240.

The previous prime is 705613. The next prime is 705631. The reversal of 705620 is 26507.

705620 = T₄₁₆ + T₄₁₇ + ... + T₄₂₃.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 515524 = 436^2 + 718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 35281 = 705620 / (7 + 0 + 5 + 6 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 705592 and 705601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17621 + ... + 17660.

It is an arithmetic number, because the mean of its divisors is an integer number (123487).

2⁷⁰⁵⁶²⁰ is an apocalyptic number.

It is an amenable number.

705620 is an abundant number, since it is smaller than the sum of its proper divisors (776224).

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

705620 is a wasteful number, since it uses less digits than its factorization.

705620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35290 (or 35288 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 705620 is about 840.0119046775. The cubic root of 705620 is about 89.0273871024.

Subtracting from 705620 its sum of digits (20), we obtain a square (705600 = 840²).

The spelling of 705620 in words is "seven hundred five thousand, six hundred twenty".