535064320 has 216 divisors, whose sum is σ = 1572858000. Its totient is φ = 173408256.

The previous prime is 535064317. The next prime is 535064329. The reversal of 535064320 is 23460535.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535064329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191456 + ... + 1191904.

It is an arithmetic number, because the mean of its divisors is an integer number (7281750).

Almost surely, 2^535064320 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 535064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786429000).

535064320 is an abundant number, since it is smaller than the sum of its proper divisors (1037793680).

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

535064320 is a wasteful number, since it uses less digits than its factorization.

535064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 535064320 is about 23131.4573687003. The cubic root of 535064320 is about 811.8366694874.

The spelling of 535064320 in words is "five hundred thirty-five million, sixty-four thousand, three hundred twenty".