179968 has 36 divisors (see below), whose sum is σ = 388360. Its totient is φ = 82944.

The previous prime is 179957. The next prime is 179969. The reversal of 179968 is 869971.

Its product of digits (27216) is a multiple of the sum of its prime factors (72).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 179968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (179969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4846 + ... + 4882.

179968 is a Friedman number, since it can be written as 9+(6^9/8+1)/7, using all its digits and the basic arithmetic operations.

2¹⁷⁹⁹⁶⁸ 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 179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194180).

179968 is an abundant number, since it is smaller than the sum of its proper divisors (208392).

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

179968 is an equidigital number, since it uses as much as digits as its factorization.

179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The square root of 179968 is about 424.2263546740. The cubic root of 179968 is about 56.4588156287.

The spelling of 179968 in words is "one hundred seventy-nine thousand, nine hundred sixty-eight".