709104 has 80 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 199680.

The previous prime is 709097. The next prime is 709117. The reversal of 709104 is 401907.

709104 = T₁₈₇ + T₁₈₈ + ... + T₂₂₀.

709104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

709104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8937 + ... + 9015.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁷⁰⁹¹⁰⁴ 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 709104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

709104 is an abundant number, since it is smaller than the sum of its proper divisors (1433616).

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

709104 is a wasteful number, since it uses less digits than its factorization.

709104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 709104 is about 842.0831312881. The cubic root of 709104 is about 89.1736709010.

The spelling of 709104 in words is "seven hundred nine thousand, one hundred four".