531630 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 128160.

The previous prime is 531623. The next prime is 531631. The reversal of 531630 is 36135.

531630 is a `hidden beast` number, since 5 + 31 + 630 = 666.

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

It is a d-powerful number, because it can be written as 5³ + 3³ + 6² + 1 + 3¹² + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531631) by changing a digit.

531630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2881 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁵³¹⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

531630 is an abundant number, since it is smaller than the sum of its proper divisors (1023570).

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

531630 is a wasteful number, since it uses less digits than its factorization.

531630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 531630 is about 729.1296181064. The cubic root of 531630 is about 81.0096010567.

Adding to 531630 its reverse (36135), we get a palindrome (567765).

The spelling of 531630 in words is "five hundred thirty-one thousand, six hundred thirty".