705618 has 32 divisors (see below), whose sum is σ = 1598400. Its totient is φ = 230688.

The previous prime is 705613. The next prime is 705631. The reversal of 705618 is 816507.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 705591 and 705600.

It is not an unprimeable number, because it can be changed into a prime (705613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3853 + ... + 4031.

It is an arithmetic number, because the mean of its divisors is an integer number (49950).

2⁷⁰⁵⁶¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799200).

705618 is an abundant number, since it is smaller than the sum of its proper divisors (892782).

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

705618 is a wasteful number, since it uses less digits than its factorization.

705618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 705618 is about 840.0107142174. The cubic root of 705618 is about 89.0273029897.

Subtracting 705618 from its reverse (816507), we obtain a square (110889 = 333²).

The spelling of 705618 in words is "seven hundred five thousand, six hundred eighteen".