168960 has 88 divisors (see below), whose sum is σ = 589536. Its totient is φ = 40960.

The previous prime is 168943. The next prime is 168977. The reversal of 168960 is 69861.

It is an interprime number because it is at equal distance from previous prime (168943) and next prime (168977).

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

168960 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, 15355 + ... + 15365.

2¹⁶⁸⁹⁶⁰ is an apocalyptic number.

168960 is a gapful number since it is divisible by the number (10) 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 168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294768).

168960 is an abundant number, since it is smaller than the sum of its proper divisors (420576).

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

168960 is a wasteful number, since it uses less digits than its factorization.

168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 168960 is about 411.0474425173. The cubic root of 168960 is about 55.2833858401.

Subtracting from 168960 its reverse (69861), we obtain a palindrome (99099).

It can be divided in two parts, 168 and 960, that added together give a triangular number (1128 = T₄₇).

The spelling of 168960 in words is "one hundred sixty-eight thousand, nine hundred sixty".