535546080 has 360 divisors, whose sum is σ = 1998384696. Its totient is φ = 134991360.

The previous prime is 535546069. The next prime is 535546139. The reversal of 535546080 is 80645535.

535546080 is a `hidden beast` number, since 5 + 35 + 546 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 12454539 + ... + 12454581.

Almost surely, 2^535546080 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 535546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999192348).

535546080 is an abundant number, since it is smaller than the sum of its proper divisors (1462838616).

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

535546080 is a wasteful number, since it uses less digits than its factorization.

535546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 535546080 is about 23141.8685503137. The cubic root of 535546080 is about 812.0802496176.

The spelling of 535546080 in words is "five hundred thirty-five million, five hundred forty-six thousand, eighty".