534840768 has 336 divisors, whose sum is σ = 1978030080. Its totient is φ = 134092800.

The previous prime is 534840767. The next prime is 534840773. The reversal of 534840768 is 867048435.

534840768 is a `hidden beast` number, since 534 + 8 + 40 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×534840768² = 572109294229659648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534840763) 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 47 ways as a sum of consecutive naturals, for example, 1374718 + ... + 1375106.

Almost surely, 2^534840768 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 534840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989015040).

534840768 is an abundant number, since it is smaller than the sum of its proper divisors (1443189312).

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

534840768 is a wasteful number, since it uses less digits than its factorization.

534840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

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

The square root of 534840768 is about 23126.6246564431. The cubic root of 534840768 is about 811.7235908751.

The spelling of 534840768 in words is "five hundred thirty-four million, eight hundred forty thousand, seven hundred sixty-eight".