705628 has 48 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 262080.

The previous prime is 705613. The next prime is 705631. The reversal of 705628 is 826507.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 705596 and 705605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8893 + ... + 8971.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁷⁰⁵⁶²⁸ 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 705628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

705628 is an abundant number, since it is smaller than the sum of its proper divisors (907172).

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

705628 is a wasteful number, since it uses less digits than its factorization.

705628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 705628 is about 840.0166665013. The cubic root of 705628 is about 89.0277235519.

Subtracting from 705628 its sum of digits (28), we obtain a square (705600 = 840²).

The spelling of 705628 in words is "seven hundred five thousand, six hundred twenty-eight".