709648 has 20 divisors (see below), whose sum is σ = 1456380. Its totient is φ = 333824.

The previous prime is 709609. The next prime is 709649. The reversal of 709648 is 846907.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 258064 = 672^2 + 508^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (709649) by changing a digit.

709648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1033 + ... + 1576.

It is an arithmetic number, because the mean of its divisors is an integer number (72819).

2⁷⁰⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

709648 is an abundant number, since it is smaller than the sum of its proper divisors (746732).

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

709648 is a wasteful number, since it uses less digits than its factorization.

709648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 709648 is about 842.4060778508. The cubic root of 709648 is about 89.1964687214.

The spelling of 709648 in words is "seven hundred nine thousand, six hundred forty-eight".