820575126 has 48 divisors (see below), whose sum is σ = 2101975200. Its totient is φ = 226364544.

The previous prime is 820575121. The next prime is 820575137. The reversal of 820575126 is 621575028.

It is a happy number.

820575126 is a `hidden beast` number, since 82 + 0 + 575 + 1 + 2 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820575121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 108631 + ... + 115938.

It is an arithmetic number, because the mean of its divisors is an integer number (43791150).

Almost surely, 2^820575126 is an apocalyptic number.

820575126 is an abundant number, since it is smaller than the sum of its proper divisors (1281400074).

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

820575126 is a wasteful number, since it uses less digits than its factorization.

820575126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224613 (or 224610 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 820575126 is about 28645.6825019059. The cubic root of 820575126 is about 936.2089373038.

The spelling of 820575126 in words is "eight hundred twenty million, five hundred seventy-five thousand, one hundred twenty-six".