170816 has 28 divisors (see below), whose sum is σ = 361188. Its totient is φ = 79872.

The previous prime is 170813. The next prime is 170827. The reversal of 170816 is 618071.

170816 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 78400 = 304^2 + 280^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 170791 and 170800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170813) 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 3 ways as a sum of consecutive naturals, for example, 1010 + ... + 1166.

2¹⁷⁰⁸¹⁶ is an apocalyptic number.

170816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180594).

170816 is an abundant number, since it is smaller than the sum of its proper divisors (190372).

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

170816 is a wasteful number, since it uses less digits than its factorization.

170816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 170816 is about 413.2989232989. The cubic root of 170816 is about 55.4850756614.

Adding to 170816 its reverse (618071), we get a palindrome (788887).

The spelling of 170816 in words is "one hundred seventy thousand, eight hundred sixteen".