534086784 has 384 divisors, whose sum is σ = 1996001280. Its totient is φ = 138101760.

The previous prime is 534086759. The next prime is 534086797. The reversal of 534086784 is 487680435.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 2394897 + ... + 2395119.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2^534086784 is an apocalyptic number.

534086784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534086784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998000640).

534086784 is an abundant number, since it is smaller than the sum of its proper divisors (1461914496).

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

534086784 is a wasteful number, since it uses less digits than its factorization.

534086784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

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

The square root of 534086784 is about 23110.3176957825. The cubic root of 534086784 is about 811.3419729802.

The spelling of 534086784 in words is "five hundred thirty-four million, eighty-six thousand, seven hundred eighty-four".