535168 has 32 divisors (see below), whose sum is σ = 1104660. Its totient is φ = 258048.

The previous prime is 535159. The next prime is 535169. The reversal of 535168 is 861535.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 5184 = 728^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (535169) by changing a digit.

535168 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 3 ways as a sum of consecutive naturals, for example, 4680 + ... + 4792.

2⁵³⁵¹⁶⁸ 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 535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552330).

535168 is an abundant number, since it is smaller than the sum of its proper divisors (569492).

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

535168 is a wasteful number, since it uses less digits than its factorization.

535168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 535168 is about 731.5517753379. The cubic root of 535168 is about 81.1889102928.

It can be divided in two parts, 535 and 168, that added together give a triangular number (703 = T₃₇).

The spelling of 535168 in words is "five hundred thirty-five thousand, one hundred sixty-eight".