820465686 has 24 divisors (see below), whose sum is σ = 1843516584. Its totient is φ = 273488400.

The previous prime is 820465661. The next prime is 820465687. The reversal of 820465686 is 686564028.

820465686 is a `hidden beast` number, since 82 + 0 + 4 + 6 + 568 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820465687) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 843615 + ... + 844586.

It is an arithmetic number, because the mean of its divisors is an integer number (76813191).

Almost surely, 2^820465686 is an apocalyptic number.

820465686 is an abundant number, since it is smaller than the sum of its proper divisors (1023050898).

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

820465686 is a wasteful number, since it uses less digits than its factorization.

820465686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688218 (or 1688206 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 820465686 is about 28643.7722026970. The cubic root of 820465686 is about 936.1673147644.

The spelling of 820465686 in words is "eight hundred twenty million, four hundred sixty-five thousand, six hundred eighty-six".