705648 has 40 divisors (see below), whose sum is σ = 1860496. Its totient is φ = 230400.

The previous prime is 705643. The next prime is 705689. The reversal of 705648 is 846507.

It is a happy number.

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 705648.

It is not an unprimeable number, because it can be changed into a prime (705643) by changing a digit.

705648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2808 + ... + 3048.

2⁷⁰⁵⁶⁴⁸ 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 705648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930248).

705648 is an abundant number, since it is smaller than the sum of its proper divisors (1154848).

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

705648 is a wasteful number, since it uses less digits than its factorization.

705648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 705648 is about 840.0285709427. The cubic root of 705648 is about 89.0285646644.

The spelling of 705648 in words is "seven hundred five thousand, six hundred forty-eight".