709664 has 24 divisors (see below), whose sum is σ = 1422288. Its totient is φ = 348480.

The previous prime is 709663. The next prime is 709673. The reversal of 709664 is 466907.

709664 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 709664.

It is not an unprimeable number, because it can be changed into a prime (709663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1979 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (59262).

2⁷⁰⁹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

709664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

709664 is a wasteful number, since it uses less digits than its factorization.

709664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 709664 is about 842.4155744049. The cubic root of 709664 is about 89.1971390692.

The spelling of 709664 in words is "seven hundred nine thousand, six hundred sixty-four".