501642 has 36 divisors (see below), whose sum is σ = 1161810. Its totient is φ = 156240.

The previous prime is 501637. The next prime is 501659. The reversal of 501642 is 246105.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 423801 + 77841 = 651^2 + 279^2 .

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

It is a nialpdrome in base 9.

It is an unprimeable number.

501642 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16167 + ... + 16197.

2⁵⁰¹⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580905).

501642 is an abundant number, since it is smaller than the sum of its proper divisors (660168).

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

501642 is a wasteful number, since it uses less digits than its factorization.

501642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 501642 is about 708.2668988453. The cubic root of 501642 is about 79.4568414137.

Adding to 501642 its reverse (246105), we get a palindrome (747747).

The spelling of 501642 in words is "five hundred one thousand, six hundred forty-two".