531168 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 160640.

The previous prime is 531163. The next prime is 531169. The reversal of 531168 is 861135.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531163) by changing a digit.

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, 805 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁵³¹¹⁶⁸ 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 531168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

531168 is an abundant number, since it is smaller than the sum of its proper divisors (992928).

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

531168 is a wasteful number, since it uses less digits than its factorization.

531168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 531168 is about 728.8127331489. The cubic root of 531168 is about 80.9861277874.

It can be divided in two parts, 53 and 1168, that added together give a palindrome (1221).

The spelling of 531168 in words is "five hundred thirty-one thousand, one hundred sixty-eight".