535989960 has 256 divisors, whose sum is σ = 1976659200. Its totient is φ = 129703680.

The previous prime is 535989913. The next prime is 535989967. The reversal of 535989960 is 69989535.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 535989897 and 535989906.

It is not an unprimeable number, because it can be changed into a prime (535989967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962002 + ... + 962558.

It is an arithmetic number, because the mean of its divisors is an integer number (7721325).

Almost surely, 2^535989960 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 535989960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988329600).

535989960 is an abundant number, since it is smaller than the sum of its proper divisors (1440669240).

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

535989960 is a wasteful number, since it uses less digits than its factorization.

535989960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 535989960 is about 23151.4569735902. The cubic root of 535989960 is about 812.3045481740.

535989960 divided by its sum of digits (54) gives a triangular number (9925740 = T₄₄₅₅).

The spelling of 535989960 in words is "five hundred thirty-five million, nine hundred eighty-nine thousand, nine hundred sixty".