531829920 has 192 divisors, whose sum is σ = 1776660480. Its totient is φ = 133444608.

The previous prime is 531829877. The next prime is 531829933. The reversal of 531829920 is 29928135.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739321 + ... + 740039.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^531829920 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 531829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240).

531829920 is an abundant number, since it is smaller than the sum of its proper divisors (1244830560).

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

531829920 is a wasteful number, since it uses less digits than its factorization.

531829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 531829920 is about 23061.4379430251. The cubic root of 531829920 is about 810.1975436494.

The spelling of 531829920 in words is "five hundred thirty-one million, eight hundred twenty-nine thousand, nine hundred twenty".