501664 has 24 divisors (see below), whose sum is σ = 1007748. Its totient is φ = 245760.

The previous prime is 501659. The next prime is 501691. The reversal of 501664 is 466105.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 400 = 708^2 + 20^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1824 + ... + 2080.

2⁵⁰¹⁶⁶⁴ 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 501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503874).

501664 is an abundant number, since it is smaller than the sum of its proper divisors (506084).

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

501664 is a wasteful number, since it uses less digits than its factorization.

501664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 501664 is about 708.2824295435. The cubic root of 501664 is about 79.4580029492.

Adding to 501664 its reverse (466105), we get a palindrome (967769).

The spelling of 501664 in words is "five hundred one thousand, six hundred sixty-four".