820064575 has 24 divisors (see below), whose sum is σ = 1136396016. Its totient is φ = 581856000.

The previous prime is 820064569. The next prime is 820064579. The reversal of 820064575 is 575460028.

It is a happy number.

820064575 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820064575 - 2¹⁹ = 819540287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820064579) 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, 25092 + ... + 47641.

It is an arithmetic number, because the mean of its divisors is an integer number (47349834).

Almost surely, 2^820064575 is an apocalyptic number.

820064575 is a deficient number, since it is larger than the sum of its proper divisors (316331441).

820064575 is a wasteful number, since it uses less digits than its factorization.

820064575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72795 (or 72790 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 820064575 is about 28636.7696327641. The cubic root of 820064575 is about 936.0147314109.

The spelling of 820064575 in words is "eight hundred twenty million, sixty-four thousand, five hundred seventy-five".