820261072 has 20 divisors (see below), whose sum is σ = 1619243460. Its totient is φ = 402391808.

The previous prime is 820261063. The next prime is 820261073. The reversal of 820261072 is 270162028.

It can be written as a sum of positive squares in 2 ways, for example, as 716954176 + 103306896 = 26776^2 + 10164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 820261072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820261073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 482797 + ... + 484492.

It is an arithmetic number, because the mean of its divisors is an integer number (80962173).

Almost surely, 2^820261072 is an apocalyptic number.

It is an amenable number.

820261072 is a deficient number, since it is larger than the sum of its proper divisors (798982388).

820261072 is a wasteful number, since it uses less digits than its factorization.

820261072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967350 (or 967344 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 820261072 is about 28640.2002786293. The cubic root of 820261072 is about 936.0894854422.

The spelling of 820261072 in words is "eight hundred twenty million, two hundred sixty-one thousand, seventy-two".