170768 has 20 divisors (see below), whose sum is σ = 356748. Its totient is φ = 78720.

The previous prime is 170767. The next prime is 170773. The reversal of 170768 is 867071.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 135424 = 188^2 + 368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 170768.

It is not an unprimeable number, because it can be changed into a prime (170761) 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, 203 + ... + 618.

2¹⁷⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

170768 is an abundant number, since it is smaller than the sum of its proper divisors (185980).

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

170768 is a wasteful number, since it uses less digits than its factorization.

170768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 170768 is about 413.2408498685. The cubic root of 170768 is about 55.4798779962.

The spelling of 170768 in words is "one hundred seventy thousand, seven hundred sixty-eight".