706056 has 64 divisors (see below), whose sum is σ = 1989120. Its totient is φ = 207360.

The previous prime is 706051. The next prime is 706067. The reversal of 706056 is 650607.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (706051) by changing a digit.

706056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 9636 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2⁷⁰⁶⁰⁵⁶ 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 706056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994560).

706056 is an abundant number, since it is smaller than the sum of its proper divisors (1283064).

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

706056 is a wasteful number, since it uses less digits than its factorization.

706056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 706056 is about 840.2713847323. The cubic root of 706056 is about 89.0457198919.

The spelling of 706056 in words is "seven hundred six thousand, fifty-six".