531642240 has 192 divisors, whose sum is σ = 1916123040. Its totient is φ = 135573504.

The previous prime is 531642179. The next prime is 531642259. The reversal of 531642240 is 42246135.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130474 + ... + 134486.

Almost surely, 2^531642240 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 531642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958061520).

531642240 is an abundant number, since it is smaller than the sum of its proper divisors (1384480800).

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

531642240 is a wasteful number, since it uses less digits than its factorization.

531642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 531642240 is about 23057.3684534901. The cubic root of 531642240 is about 810.1022276097.

Adding to 531642240 its reverse (42246135), we get a palindrome (573888375).

The spelling of 531642240 in words is "five hundred thirty-one million, six hundred forty-two thousand, two hundred forty".