820566960 has 40 divisors (see below), whose sum is σ = 2543758320. Its totient is φ = 218817792.

The previous prime is 820566959. The next prime is 820566991. The reversal of 820566960 is 69665028.

820566960 is digitally balanced in base 2, 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1709275 + ... + 1709754.

It is an arithmetic number, because the mean of its divisors is an integer number (63593958).

Almost surely, 2^820566960 is an apocalyptic number.

820566960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820566960 is an abundant number, since it is smaller than the sum of its proper divisors (1723191360).

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

820566960 is a wasteful number, since it uses less digits than its factorization.

820566960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419045 (or 3419039 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 820566960 is about 28645.5399669826. The cubic root of 820566960 is about 936.2058317146.

The spelling of 820566960 in words is "eight hundred twenty million, five hundred sixty-six thousand, nine hundred sixty".