20828160 has 156 divisors (see below), whose sum is σ = 72834372. Its totient is φ = 5505024.

The previous prime is 20828153. The next prime is 20828189. The reversal of 20828160 is 6182802.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 17842176 = 1728^2 + 4224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184264 + ... + 184376.

It is an arithmetic number, because the mean of its divisors is an integer number (466887).

Almost surely, 2^20828160 is an apocalyptic number.

20828160 is a gapful number since it is divisible by the number (20) 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 20828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36417186).

20828160 is an abundant number, since it is smaller than the sum of its proper divisors (52006212).

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

20828160 is a wasteful number, since it uses less digits than its factorization.

20828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20828160 is about 4563.7879004178. The cubic root of 20828160 is about 275.1378262286.

The spelling of 20828160 in words is "twenty million, eight hundred twenty-eight thousand, one hundred sixty".