531180 has 72 divisors (see below), whose sum is σ = 1742832. Its totient is φ = 130176.

The previous prime is 531173. The next prime is 531197. The reversal of 531180 is 81135.

531180 = T₁₈₉ + T₁₉₀ + ... + T₂₁₄.

It is a happy number.

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

It is an unprimeable number.

531180 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 23 ways as a sum of consecutive naturals, for example, 2227 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2⁵³¹¹⁸⁰ 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 531180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416).

531180 is an abundant number, since it is smaller than the sum of its proper divisors (1211652).

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

531180 is a wasteful number, since it uses less digits than its factorization.

531180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 531180 is about 728.8209656699. The cubic root of 531180 is about 80.9867376549.

The spelling of 531180 in words is "five hundred thirty-one thousand, one hundred eighty".