530560800 has 864 divisors, whose sum is σ = 2493590400. Its totient is φ = 106444800.

The previous prime is 530560763. The next prime is 530560801. The reversal of 530560800 is 8065035.

530560800 is a `hidden beast` number, since 53 + 0 + 5 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (530560801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18295186 + ... + 18295214.

It is an arithmetic number, because the mean of its divisors is an integer number (2886100).

Almost surely, 2^530560800 is an apocalyptic number.

530560800 is a gapful number since it is divisible by the number (50) 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 530560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

530560800 is an abundant number, since it is smaller than the sum of its proper divisors (1963029600).

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

530560800 is a wasteful number, since it uses less digits than its factorization.

530560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 530560800 is about 23033.9054439320. The cubic root of 530560800 is about 809.5525649587.

The spelling of 530560800 in words is "five hundred thirty million, five hundred sixty thousand, eight hundred".