535808 has 72 divisors (see below), whose sum is σ = 1373568. Its totient is φ = 202752.

The previous prime is 535793. The next prime is 535811. The reversal of 535808 is 808535.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 535808.

It is an unprimeable number.

535808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23285 + ... + 23307.

2⁵³⁵⁸⁰⁸ 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 535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686784).

535808 is an abundant number, since it is smaller than the sum of its proper divisors (837760).

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

535808 is a wasteful number, since it uses less digits than its factorization.

535808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 535808 is about 731.9890709567. The cubic root of 535808 is about 81.2212616312.

The spelling of 535808 in words is "five hundred thirty-five thousand, eight hundred eight".