531664 has 40 divisors (see below), whose sum is σ = 1214208. Its totient is φ = 220800.

The previous prime is 531637. The next prime is 531667. The reversal of 531664 is 466135.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531667) by changing a digit.

531664 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 7 ways as a sum of consecutive naturals, for example, 5214 + ... + 5314.

2⁵³¹⁶⁶⁴ 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 531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104).

531664 is an abundant number, since it is smaller than the sum of its proper divisors (682544).

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

531664 is a wasteful number, since it uses less digits than its factorization.

531664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 531664 is about 729.1529332040. The cubic root of 531664 is about 81.0113279894.

Adding to 531664 its reverse (466135), we get a palindrome (997799).

The spelling of 531664 in words is "five hundred thirty-one thousand, six hundred sixty-four".