535541760 has 384 divisors, whose sum is σ = 2063880000. Its totient is φ = 130940928.

The previous prime is 535541731. The next prime is 535541767. The reversal of 535541760 is 67145535.

535541760 is a `hidden beast` number, since 53 + 5 + 541 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535541767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594166 + ... + 3594314.

Almost surely, 2^535541760 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 535541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940000).

535541760 is an abundant number, since it is smaller than the sum of its proper divisors (1528338240).

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

535541760 is a wasteful number, since it uses less digits than its factorization.

535541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 535541760 is about 23141.7752128051. The cubic root of 535541760 is about 812.0780660544.

The spelling of 535541760 in words is "five hundred thirty-five million, five hundred forty-one thousand, seven hundred sixty".