536608 has 24 divisors (see below), whose sum is σ = 1084860. Its totient is φ = 261120.

The previous prime is 536593. The next prime is 536609. The reversal of 536608 is 806635.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 784 = 732^2 + 28^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (536609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1108 + ... + 1516.

2⁵³⁶⁶⁰⁸ 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 536608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542430).

536608 is an abundant number, since it is smaller than the sum of its proper divisors (548252).

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

536608 is a wasteful number, since it uses less digits than its factorization.

536608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 536608 is about 732.5353233804. The cubic root of 536608 is about 81.2616645975.

The spelling of 536608 in words is "five hundred thirty-six thousand, six hundred eight".