168012 has 36 divisors (see below), whose sum is σ = 458640. Its totient is φ = 51552.

The previous prime is 167987. The next prime is 168013. The reversal of 168012 is 210861.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (168013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2¹⁶⁸⁰¹² is an apocalyptic number.

168012 is a gapful number since it is divisible by the number (12) 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 168012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

168012 is an abundant number, since it is smaller than the sum of its proper divisors (290628).

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

168012 is a wasteful number, since it uses less digits than its factorization.

168012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 168012 is about 409.8926688781. The cubic root of 168012 is about 55.1797972698.

Adding to 168012 its reverse (210861), we get a palindrome (378873).

Subtracting 168012 from its reverse (210861), we obtain a square (42849 = 207²).

The spelling of 168012 in words is "one hundred sixty-eight thousand, twelve".