360168 has 32 divisors (see below), whose sum is σ = 924000. Its totient is φ = 116928.

The previous prime is 360167. The next prime is 360169. The reversal of 360168 is 861063.

It is an interprime number because it is at equal distance from previous prime (360167) and next prime (360169).

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (360163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (28875).

2³⁶⁰¹⁶⁸ 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 360168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462000).

360168 is an abundant number, since it is smaller than the sum of its proper divisors (563832).

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

360168 is a wasteful number, since it uses less digits than its factorization.

360168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

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

The square root of 360168 is about 600.1399836705. The cubic root of 360168 is about 71.1489302592.

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

The spelling of 360168 in words is "three hundred sixty thousand, one hundred sixty-eight".