536034688 has 192 divisors, whose sum is σ = 1377734400. Its totient is φ = 202549248.

The previous prime is 536034683. The next prime is 536034691. The reversal of 536034688 is 886430635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536034683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14487406 + ... + 14487442.

It is an arithmetic number, because the mean of its divisors is an integer number (7175700).

Almost surely, 2^536034688 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 536034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688867200).

536034688 is an abundant number, since it is smaller than the sum of its proper divisors (841699712).

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

536034688 is a wasteful number, since it uses less digits than its factorization.

536034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 536034688 is about 23152.4229401590. The cubic root of 536034688 is about 812.3271429674.

The spelling of 536034688 in words is "five hundred thirty-six million, thirty-four thousand, six hundred eighty-eight".