706689984 has 224 divisors, whose sum is σ = 2511161856. Its totient is φ = 169390080.

The previous prime is 706689961. The next prime is 706690007. The reversal of 706689984 is 489986607.

706689984 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 (706689961) and next prime (706690007).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190354 + ... + 194030.

It is an arithmetic number, because the mean of its divisors is an integer number (11210544).

Almost surely, 2^706689984 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 706689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255580928).

706689984 is an abundant number, since it is smaller than the sum of its proper divisors (1804471872).

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

706689984 is a wasteful number, since it uses less digits than its factorization.

706689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 706689984 is about 26583.6412855726. The cubic root of 706689984 is about 890.7236398868.

The spelling of 706689984 in words is "seven hundred six million, six hundred eighty-nine thousand, nine hundred eighty-four".