531549216 has 240 divisors, whose sum is σ = 1731457728. Its totient is φ = 158630400.

The previous prime is 531549211. The next prime is 531549253. The reversal of 531549216 is 612945135.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32400) is a multiple of the sum of its prime divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531549211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2936646 + ... + 2936826.

Almost surely, 2^531549216 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 531549216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865728864).

531549216 is an abundant number, since it is smaller than the sum of its proper divisors (1199908512).

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

531549216 is a wasteful number, since it uses less digits than its factorization.

531549216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 531549216 is about 23055.3511359077. The cubic root of 531549216 is about 810.0549756925.

The spelling of 531549216 in words is "five hundred thirty-one million, five hundred forty-nine thousand, two hundred sixteen".