820678164 has 24 divisors (see below), whose sum is σ = 1916090400. Its totient is φ = 273391584.

The previous prime is 820678151. The next prime is 820678169. The reversal of 820678164 is 461876028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820678169) 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 7 ways as a sum of consecutive naturals, for example, 262 + ... + 40514.

It is an arithmetic number, because the mean of its divisors is an integer number (79837100).

Almost surely, 2^820678164 is an apocalyptic number.

It is an amenable number.

820678164 is an abundant number, since it is smaller than the sum of its proper divisors (1095412236).

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

820678164 is a wasteful number, since it uses less digits than its factorization.

820678164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41959 (or 41957 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 820678164 is about 28647.4809363755. The cubic root of 820678164 is about 936.2481216336.

The spelling of 820678164 in words is "eight hundred twenty million, six hundred seventy-eight thousand, one hundred sixty-four".