820953618 has 16 divisors (see below), whose sum is σ = 1642650816. Its totient is φ = 273527280.

The previous prime is 820953593. The next prime is 820953641. The reversal of 820953618 is 816359028.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 820953618.

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, 16078 + ... + 43593.

It is an arithmetic number, because the mean of its divisors is an integer number (102665676).

Almost surely, 2^820953618 is an apocalyptic number.

820953618 is an abundant number, since it is smaller than the sum of its proper divisors (821697198).

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

820953618 is a wasteful number, since it uses less digits than its factorization.

820953618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61969.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 820953618 is about 28652.2881808766. The cubic root of 820953618 is about 936.3528579575.

The spelling of 820953618 in words is "eight hundred twenty million, nine hundred fifty-three thousand, six hundred eighteen".