168360 has 64 divisors (see below), whose sum is σ = 535680. Its totient is φ = 42240.

The previous prime is 168353. The next prime is 168391. The reversal of 168360 is 63861.

Added to its reverse (63861) it gives a triangular number (232221 = T₆₈₁).

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

It is a self number, because there is not a number n which added to its sum of digits gives 168360.

It is a congruent number.

It is an unprimeable number.

168360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹⁶⁸³⁶⁰ is an apocalyptic number.

168360 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 168360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

168360 is an abundant number, since it is smaller than the sum of its proper divisors (367320).

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

168360 is a wasteful number, since it uses less digits than its factorization.

168360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 168360 is about 410.3169506613. The cubic root of 168360 is about 55.2178686113.

Adding to 168360 its reverse (63861), we get a triangular number (232221 = T₆₈₁).

It can be divided in two parts, 168 and 360, that added together give a triangular number (528 = T₃₂).

The spelling of 168360 in words is "one hundred sixty-eight thousand, three hundred sixty".