820868160 has 448 divisors, whose sum is σ = 3202301952. Its totient is φ = 174096384.

The previous prime is 820868143. The next prime is 820868161. The reversal of 820868160 is 61868028.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×820868160² = 1347649072203571200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820868161) 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 63 ways as a sum of consecutive naturals, for example, 7264264 + ... + 7264376.

Almost surely, 2^820868160 is an apocalyptic number.

820868160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601150976).

820868160 is an abundant number, since it is smaller than the sum of its proper divisors (2381433792).

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

820868160 is a wasteful number, since it uses less digits than its factorization.

820868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 820868160 is about 28650.7968475573. The cubic root of 820868160 is about 936.3203666298.

The spelling of 820868160 in words is "eight hundred twenty million, eight hundred sixty-eight thousand, one hundred sixty".