706848 has 48 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 228096.

The previous prime is 706847. The next prime is 706883. The reversal of 706848 is 848607.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (706841) 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 7 ways as a sum of consecutive naturals, for example, 3453 + ... + 3651.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁷⁰⁶⁸⁴⁸ 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 706848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

706848 is an abundant number, since it is smaller than the sum of its proper divisors (1208352).

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

706848 is a wasteful number, since it uses less digits than its factorization.

706848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 706848 is about 840.7425289588. The cubic root of 706848 is about 89.0790023591.

The spelling of 706848 in words is "seven hundred six thousand, eight hundred forty-eight".