535845120 has 144 divisors (see below), whose sum is σ = 1748355840. Its totient is φ = 139804672.

The previous prime is 535845119. The next prime is 535845127. The reversal of 535845120 is 21548535.

It is not an unprimeable number, because it can be changed into a prime (535845127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178996 + ... + 181964.

It is an arithmetic number, because the mean of its divisors is an integer number (12141360).

Almost surely, 2^535845120 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 535845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874177920).

535845120 is an abundant number, since it is smaller than the sum of its proper divisors (1212510720).

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

535845120 is a wasteful number, since it uses less digits than its factorization.

535845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 535845120 is about 23148.3286653702. The cubic root of 535845120 is about 812.2313721826.

The spelling of 535845120 in words is "five hundred thirty-five million, eight hundred forty-five thousand, one hundred twenty".