612168 has 32 divisors (see below), whose sum is σ = 1598400. Its totient is φ = 195008.

The previous prime is 612149. The next prime is 612169. The reversal of 612168 is 861216.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (612169) by changing a digit.

612168 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, 3 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (49950).

2⁶¹²¹⁶⁸ 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 612168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799200).

612168 is an abundant number, since it is smaller than the sum of its proper divisors (986232).

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

612168 is a wasteful number, since it uses less digits than its factorization.

612168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 612168 is about 782.4116563549. The cubic root of 612168 is about 84.9096155735.

It can be divided in two parts, 612 and 168, that added together give a triangular number (780 = T₃₉).

The spelling of 612168 in words is "six hundred twelve thousand, one hundred sixty-eight".