20819120 has 120 divisors (see below), whose sum is σ = 58014144. Its totient is φ = 6924288.

The previous prime is 20819119. The next prime is 20819143. The reversal of 20819120 is 2191802.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 184184 + ... + 184296.

Almost surely, 2^20819120 is an apocalyptic number.

20819120 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 20819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29007072).

20819120 is an abundant number, since it is smaller than the sum of its proper divisors (37195024).

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

20819120 is a wasteful number, since it uses less digits than its factorization.

20819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 20819120 is about 4562.7973875683. The cubic root of 20819120 is about 275.0980146485.

The spelling of 20819120 in words is "twenty million, eight hundred nineteen thousand, one hundred twenty".