535759920 has 200 divisors, whose sum is σ = 1925613360. Its totient is φ = 137894400.

The previous prime is 535759897. The next prime is 535759951. The reversal of 535759920 is 29957535.

535759920 is a `hidden beast` number, since 5 + 3 + 57 + 599 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186495 + ... + 189345.

Almost surely, 2^535759920 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 535759920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962806680).

535759920 is an abundant number, since it is smaller than the sum of its proper divisors (1389853440).

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

535759920 is a wasteful number, since it uses less digits than its factorization.

535759920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 535759920 is about 23146.4882865630. The cubic root of 535759920 is about 812.1883213218.

The spelling of 535759920 in words is "five hundred thirty-five million, seven hundred fifty-nine thousand, nine hundred twenty".