642112 has 28 divisors (see below), whose sum is σ = 1300480. Its totient is φ = 314496.

The previous prime is 642079. The next prime is 642113. The reversal of 642112 is 211246.

642112 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (16).

642112 is a modest number, since divided by 2112 gives 64 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642113) by changing a digit.

642112 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 3 ways as a sum of consecutive naturals, for example, 4993 + ... + 5119.

2⁶⁴²¹¹² 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 642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650240).

642112 is an abundant number, since it is smaller than the sum of its proper divisors (658368).

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

642112 is a wasteful number, since it uses less digits than its factorization.

642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 642112 is about 801.3189127932. The cubic root of 642112 is about 86.2720786437.

Adding to 642112 its reverse (211246), we get a palindrome (853358).

The spelling of 642112 in words is "six hundred forty-two thousand, one hundred twelve".