170664 has 32 divisors (see below), whose sum is σ = 460320. Its totient is φ = 52416.

The previous prime is 170647. The next prime is 170669. The reversal of 170664 is 466071.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (170669) by changing a digit.

170664 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 7 ways as a sum of consecutive naturals, for example, 39 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (14385).

2¹⁷⁰⁶⁶⁴ 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 170664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230160).

170664 is an abundant number, since it is smaller than the sum of its proper divisors (289656).

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

170664 is a wasteful number, since it uses less digits than its factorization.

170664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 170664 is about 413.1149960967. The cubic root of 170664 is about 55.4686130460.

It can be divided in two parts, 1706 and 64, that added together give a triangular number (1770 = T₅₉).

The spelling of 170664 in words is "one hundred seventy thousand, six hundred sixty-four".