705564 has 48 divisors (see below), whose sum is σ = 1881600. Its totient is φ = 228528.

The previous prime is 705559. The next prime is 705613. The reversal of 705564 is 465507.

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

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, 5007 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2⁷⁰⁵⁵⁶⁴ 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 705564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940800).

705564 is an abundant number, since it is smaller than the sum of its proper divisors (1176036).

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

705564 is a wasteful number, since it uses less digits than its factorization.

705564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 705564 is about 839.9785711552. The cubic root of 705564 is about 89.0250318850.

The spelling of 705564 in words is "seven hundred five thousand, five hundred sixty-four".