821079168 has 128 divisors (see below), whose sum is σ = 2684411520. Its totient is φ = 216539136.

The previous prime is 821079151. The next prime is 821079187. The reversal of 821079168 is 861970128.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23196 + ... + 46692.

It is an arithmetic number, because the mean of its divisors is an integer number (20971965).

Almost surely, 2^821079168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342205760).

821079168 is an abundant number, since it is smaller than the sum of its proper divisors (1863332352).

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

821079168 is a wasteful number, since it uses less digits than its factorization.

821079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23534 (or 23522 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 821079168 is about 28654.4790216120. The cubic root of 821079168 is about 936.4005882663.

It can be divided in two parts, 8210 and 79168, that added together give a palindrome (87378).

The spelling of 821079168 in words is "eight hundred twenty-one million, seventy-nine thousand, one hundred sixty-eight".