535985112 has 128 divisors (see below), whose sum is σ = 1541030400. Its totient is φ = 153888768.

The previous prime is 535985081. The next prime is 535985119. The reversal of 535985112 is 211589535.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535985119) 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, 736893 + ... + 737619.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^535985112 is an apocalyptic number.

535985112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535985112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

535985112 is an abundant number, since it is smaller than the sum of its proper divisors (1005045288).

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

535985112 is a wasteful number, since it uses less digits than its factorization.

535985112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

The product of its digits is 54000, while the sum is 39.

The square root of 535985112 is about 23151.3522715197. The cubic root of 535985112 is about 812.3020990832.

The spelling of 535985112 in words is "five hundred thirty-five million, nine hundred eighty-five thousand, one hundred twelve".