820160 has 56 divisors (see below), whose sum is σ = 2139696. Its totient is φ = 296960.

The previous prime is 820133. The next prime is 820163. The reversal of 820160 is 61028.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3404 + ... + 3636.

2⁸²⁰¹⁶⁰ is an apocalyptic number.

820160 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 820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069848).

820160 is an abundant number, since it is smaller than the sum of its proper divisors (1319536).

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

820160 is a wasteful number, since it uses less digits than its factorization.

820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 820160 is about 905.6268547255. The cubic root of 820160 is about 93.6051035764.

Adding to 820160 its reverse (61028), we get a palindrome (881188).

The spelling of 820160 in words is "eight hundred twenty thousand, one hundred sixty".