536300688 has 240 divisors, whose sum is σ = 1852381440. Its totient is φ = 131846400.

The previous prime is 536300663. The next prime is 536300731. The reversal of 536300688 is 886003635.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 491023 + ... + 492113.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^536300688 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 536300688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

536300688 is an abundant number, since it is smaller than the sum of its proper divisors (1316080752).

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

536300688 is a wasteful number, since it uses less digits than its factorization.

536300688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 536300688 is about 23158.1667668233. The cubic root of 536300688 is about 812.4614895515.

The spelling of 536300688 in words is "five hundred thirty-six million, three hundred thousand, six hundred eighty-eight".