538590816 has 96 divisors (see below), whose sum is σ = 1639249920. Its totient is φ = 171718272.

The previous prime is 538590803. The next prime is 538590863. The reversal of 538590816 is 618095835.

538590816 is a `hidden beast` number, since 53 + 8 + 590 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6321 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (17075520).

Almost surely, 2^538590816 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 538590816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819624960).

538590816 is an abundant number, since it is smaller than the sum of its proper divisors (1100659104).

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

538590816 is a wasteful number, since it uses less digits than its factorization.

538590816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27131 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 538590816 is about 23207.5594580731. The cubic root of 538590816 is about 813.6163134885.

The spelling of 538590816 in words is "five hundred thirty-eight million, five hundred ninety thousand, eight hundred sixteen".