534829120 has 168 divisors, whose sum is σ = 1546945344. Its totient is φ = 175279104.

The previous prime is 534829111. The next prime is 534829123. The reversal of 534829120 is 21928435.

It is not an unprimeable number, because it can be changed into a prime (534829123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359899 + ... + 361381.

It is an arithmetic number, because the mean of its divisors is an integer number (9208008).

Almost surely, 2^534829120 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 534829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773472672).

534829120 is an abundant number, since it is smaller than the sum of its proper divisors (1012116224).

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

534829120 is a wasteful number, since it uses less digits than its factorization.

534829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 534829120 is about 23126.3728241158. The cubic root of 534829120 is about 811.7176981399.

The spelling of 534829120 in words is "five hundred thirty-four million, eight hundred twenty-nine thousand, one hundred twenty".