170368 has 32 divisors (see below), whose sum is σ = 373320. Its totient is φ = 77440.

The previous prime is 170363. The next prime is 170369. The reversal of 170368 is 863071.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170363) by changing a digit.

170368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15483 + ... + 15493.

2¹⁷⁰³⁶⁸ 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 170368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186660).

170368 is an abundant number, since it is smaller than the sum of its proper divisors (202952).

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

170368 is an frugal number, since it uses more digits than its factorization.

170368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 170368 is about 412.7565868645. The cubic root of 170368 is about 55.4365261954.

It can be divided in two parts, 1703 and 68, that added together give a palindrome (1771).

The spelling of 170368 in words is "one hundred seventy thousand, three hundred sixty-eight".