706112 has 56 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 296960.

The previous prime is 706109. The next prime is 706117. The reversal of 706112 is 211607.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (706117) 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, 11939 + ... + 11997.

2⁷⁰⁶¹¹² 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 706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

706112 is an abundant number, since it is smaller than the sum of its proper divisors (939808).

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

706112 is a wasteful number, since it uses less digits than its factorization.

706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 706112 is about 840.3047066392. The cubic root of 706112 is about 89.0480740152.

Adding to 706112 its reverse (211607), we get a palindrome (917719).

It can be divided in two parts, 706 and 112, that added together give a palindrome (818).

The spelling of 706112 in words is "seven hundred six thousand, one hundred twelve".