820216160 has 24 divisors (see below), whose sum is σ = 1937761056. Its totient is φ = 328086400.

The previous prime is 820216151. The next prime is 820216207. The reversal of 820216160 is 61612028.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2563016 + ... + 2563335.

It is an arithmetic number, because the mean of its divisors is an integer number (80740044).

Almost surely, 2^820216160 is an apocalyptic number.

820216160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820216160 is an abundant number, since it is smaller than the sum of its proper divisors (1117544896).

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

820216160 is a wasteful number, since it uses less digits than its factorization.

820216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126366 (or 5126358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 820216160 is about 28639.4161951671. The cubic root of 820216160 is about 936.0724004677.

Adding to 820216160 its reverse (61612028), we get a palindrome (881828188).

The spelling of 820216160 in words is "eight hundred twenty million, two hundred sixteen thousand, one hundred sixty".