706816 has 36 divisors (see below), whose sum is σ = 1545264. Its totient is φ = 320000.

The previous prime is 706801. The next prime is 706829. The reversal of 706816 is 618607.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2691 + ... + 2941.

It is an arithmetic number, because the mean of its divisors is an integer number (42924).

2⁷⁰⁶⁸¹⁶ 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 706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772632).

706816 is an abundant number, since it is smaller than the sum of its proper divisors (838448).

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

706816 is a wasteful number, since it uses less digits than its factorization.

706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 706816 is about 840.7234979469. The cubic root of 706816 is about 89.0776580951.

Subtracting from 706816 its reverse (618607), we obtain a square (88209 = 297²).

It can be divided in two parts, 70 and 6816, that added together give a palindrome (6886).

The spelling of 706816 in words is "seven hundred six thousand, eight hundred sixteen".