708984 has 48 divisors (see below), whose sum is σ = 1973400. Its totient is φ = 229824.

The previous prime is 708979. The next prime is 708989. The reversal of 708984 is 489807.

708984 = T₄₁₇ + T₄₁₈ + ... + T₄₂₄.

708984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (708979) and next prime (708989).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 708984.

It is not an unprimeable number, because it can be changed into a prime (708989) by changing a digit.

708984 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 11 ways as a sum of consecutive naturals, for example, 2982 + ... + 3210.

2⁷⁰⁸⁹⁸⁴ 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 708984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986700).

708984 is an abundant number, since it is smaller than the sum of its proper divisors (1264416).

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

708984 is a wasteful number, since it uses less digits than its factorization.

708984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 708984 is about 842.0118764008. The cubic root of 708984 is about 89.1686404004.

The spelling of 708984 in words is "seven hundred eight thousand, nine hundred eighty-four".