535530720 has 96 divisors (see below), whose sum is σ = 1702850688. Its totient is φ = 141459968.

The previous prime is 535530707. The next prime is 535530769. The reversal of 535530720 is 27035535.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 46147 + ... + 56573.

It is an arithmetic number, because the mean of its divisors is an integer number (17738028).

Almost surely, 2^535530720 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 535530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851425344).

535530720 is an abundant number, since it is smaller than the sum of its proper divisors (1167319968).

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

535530720 is a wasteful number, since it uses less digits than its factorization.

535530720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 30.

The square root of 535530720 is about 23141.5366819060. The cubic root of 535530720 is about 812.0724857841.

The spelling of 535530720 in words is "five hundred thirty-five million, five hundred thirty thousand, seven hundred twenty".