536800320 has 168 divisors, whose sum is σ = 2110215744. Its totient is φ = 122692608.

The previous prime is 536800307. The next prime is 536800351. The reversal of 536800320 is 23008635.

536800320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6847 + ... + 33473.

It is an arithmetic number, because the mean of its divisors is an integer number (12560808).

Almost surely, 2^536800320 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 536800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055107872).

536800320 is an abundant number, since it is smaller than the sum of its proper divisors (1573415424).

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

536800320 is a wasteful number, since it uses less digits than its factorization.

536800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26657 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 536800320 is about 23168.9516379140. The cubic root of 536800320 is about 812.7137148262.

Adding to 536800320 its reverse (23008635), we get a palindrome (559808955).

The spelling of 536800320 in words is "five hundred thirty-six million, eight hundred thousand, three hundred twenty".