706008 has 32 divisors (see below), whose sum is σ = 1843200. Its totient is φ = 224928.

The previous prime is 706003. The next prime is 706009. The reversal of 706008 is 800607.

706008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×706008³ = 1055723335798657536, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 1191.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2⁷⁰⁶⁰⁰⁸ 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 706008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921600).

706008 is an abundant number, since it is smaller than the sum of its proper divisors (1137192).

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

706008 is a wasteful number, since it uses less digits than its factorization.

706008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 706008 is about 840.2428220461. The cubic root of 706008 is about 89.0437019730.

The spelling of 706008 in words is "seven hundred six thousand, eight".