534108960 has 288 divisors, whose sum is σ = 2272862592. Its totient is φ = 110960640.

The previous prime is 534108917. The next prime is 534108973. The reversal of 534108960 is 69801435.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108472 + ... + 113288.

It is an arithmetic number, because the mean of its divisors is an integer number (7891884).

Almost surely, 2^534108960 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 534108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136431296).

534108960 is an abundant number, since it is smaller than the sum of its proper divisors (1738753632).

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

534108960 is a wasteful number, since it uses less digits than its factorization.

534108960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 534108960 is about 23110.7974765044. The cubic root of 534108960 is about 811.3532021606.

The spelling of 534108960 in words is "five hundred thirty-four million, one hundred eight thousand, nine hundred sixty".