820540468 has 24 divisors (see below), whose sum is σ = 1588555584. Its totient is φ = 367718400.

The previous prime is 820540423. The next prime is 820540499. The reversal of 820540468 is 864045028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128205 + ... + 134452.

It is an arithmetic number, because the mean of its divisors is an integer number (66189816).

Almost surely, 2^820540468 is an apocalyptic number.

It is an amenable number.

820540468 is a deficient number, since it is larger than the sum of its proper divisors (768015116).

820540468 is a wasteful number, since it uses less digits than its factorization.

820540468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262743 (or 262741 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 820540468 is about 28645.0775526966. The cubic root of 820540468 is about 936.1957564728.

The spelling of 820540468 in words is "eight hundred twenty million, five hundred forty thousand, four hundred sixty-eight".