642168 has 40 divisors (see below), whose sum is σ = 1800480. Its totient is φ = 213840.

The previous prime is 642163. The next prime is 642197. The reversal of 642168 is 861246.

642168 is a `hidden beast` number, since 642 + 16 + 8 = 666.

642168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642163) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (45012).

2⁶⁴²¹⁶⁸ 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 642168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900240).

642168 is an abundant number, since it is smaller than the sum of its proper divisors (1158312).

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

642168 is a wasteful number, since it uses less digits than its factorization.

642168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 642168 is about 801.3538544239. The cubic root of 642168 is about 86.2745865634.

The spelling of 642168 in words is "six hundred forty-two thousand, one hundred sixty-eight".