535760 has 40 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 207360.

The previous prime is 535757. The next prime is 535771. The reversal of 535760 is 67535.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 512656 = 152^2 + 716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2870 + ... + 3050.

2⁵³⁵⁷⁶⁰ 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 535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643188).

535760 is an abundant number, since it is smaller than the sum of its proper divisors (750616).

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

535760 is a wasteful number, since it uses less digits than its factorization.

535760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 535760 is about 731.9562828475. The cubic root of 535760 is about 81.2188361747.

The spelling of 535760 in words is "five hundred thirty-five thousand, seven hundred sixty".