705905664 has 88 divisors (see below), whose sum is σ = 1912847808. Its totient is φ = 231383040.

The previous prime is 705905663. The next prime is 705905701. The reversal of 705905664 is 466509507.

It is not an unprimeable number, because it can be changed into a prime (705905663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185509 + ... + 189275.

Almost surely, 2^705905664 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 705905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956423904).

705905664 is an abundant number, since it is smaller than the sum of its proper divisors (1206942144).

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

705905664 is a wasteful number, since it uses less digits than its factorization.

705905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 705905664 is about 26568.8852607707. The cubic root of 705905664 is about 890.3939946429.

The spelling of 705905664 in words is "seven hundred five million, nine hundred five thousand, six hundred sixty-four".