531216 has 120 divisors (see below), whose sum is σ = 1857024. Its totient is φ = 138240.

The previous prime is 531203. The next prime is 531229. The reversal of 531216 is 612135.

It is an interprime number because it is at equal distance from previous prime (531203) and next prime (531229).

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

Its product of digits (180) is a multiple of the sum of its prime divisors (60).

It is a nialpdrome in base 9 and base 14.

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, 17121 + ... + 17151.

2⁵³¹²¹⁶ is an apocalyptic number.

531216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928512).

531216 is an abundant number, since it is smaller than the sum of its proper divisors (1325808).

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

531216 is a wasteful number, since it uses less digits than its factorization.

531216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 531216 is about 728.8456626749. The cubic root of 531216 is about 80.9885672021.

It can be divided in two parts, 531 and 216, that added together give a palindrome (747).

The spelling of 531216 in words is "five hundred thirty-one thousand, two hundred sixteen".