534048768 has 208 divisors, whose sum is σ = 1729939200. Its totient is φ = 161464320.

The previous prime is 534048737. The next prime is 534048793. The reversal of 534048768 is 867840435.

534048768 is a `hidden beast` number, since 534 + 0 + 48 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1216293 + ... + 1216731.

Almost surely, 2^534048768 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 534048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864969600).

534048768 is an abundant number, since it is smaller than the sum of its proper divisors (1195890432).

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

534048768 is a wasteful number, since it uses less digits than its factorization.

534048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 534048768 is about 23109.4951913710. The cubic root of 534048768 is about 811.3227222334.

The spelling of 534048768 in words is "five hundred thirty-four million, forty-eight thousand, seven hundred sixty-eight".