642176 has 32 divisors (see below), whose sum is σ = 1331100. Its totient is φ = 308224.

The previous prime is 642163. The next prime is 642197. The reversal of 642176 is 671246.

It can be written as a sum of positive squares in 2 ways, for example, as 602176 + 40000 = 776^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 6 + 4² + 1 + 2¹⁹ + 7⁶ + 6³ .

It is an unprimeable 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, 3626 + ... + 3798.

2⁶⁴²¹⁷⁶ 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 642176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665550).

642176 is an abundant number, since it is smaller than the sum of its proper divisors (688924).

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

642176 is a wasteful number, since it uses less digits than its factorization.

642176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 642176 is about 801.3588459610. The cubic root of 642176 is about 86.2749448258.

It can be divided in two parts, 642 and 176, that added together give a palindrome (818).

The spelling of 642176 in words is "six hundred forty-two thousand, one hundred seventy-six".