535968 has 36 divisors (see below), whose sum is σ = 1524978. Its totient is φ = 178560.

The previous prime is 535967. The next prime is 535973. The reversal of 535968 is 869535.

It can be written as a sum of positive squares in only one way, i.e., 535824 + 144 = 732^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5³ + 3¹² + 9³ + 5⁵ + 6² + 8³ .

It is not an unprimeable number, because it can be changed into a prime (535967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 643 + ... + 1218.

535968 is a Friedman number, since it can be written as 5583*96, using all its digits and the basic arithmetic operations.

2⁵³⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

535968 is an abundant number, since it is smaller than the sum of its proper divisors (989010).

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

535968 is a wasteful number, since it uses less digits than its factorization.

535968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1866 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 535968 is about 732.0983540481. The cubic root of 535968 is about 81.2293454402.

The spelling of 535968 in words is "five hundred thirty-five thousand, nine hundred sixty-eight".