535836960 has 288 divisors, whose sum is σ = 1915870320. Its totient is φ = 136249344.

The previous prime is 535836949. The next prime is 535836967. The reversal of 535836960 is 69638535.

535836960 is a `hidden beast` number, since 5 + 3 + 583 + 6 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 101364624 + 434472336 = 10068^2 + 20844^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (535836967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741864 + ... + 4741976.

Almost surely, 2^535836960 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 535836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957935160).

535836960 is an abundant number, since it is smaller than the sum of its proper divisors (1380033360).

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

535836960 is a wasteful number, since it uses less digits than its factorization.

535836960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 535836960 is about 23148.1524100737. The cubic root of 535836960 is about 812.2272491991.

The spelling of 535836960 in words is "five hundred thirty-five million, eight hundred thirty-six thousand, nine hundred sixty".