20814820 has 48 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 7629696.

The previous prime is 20814811. The next prime is 20814863. The reversal of 20814820 is 2841802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57801 + ... + 58159.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 2^20814820 is an apocalyptic number.

20814820 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 20814820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

20814820 is an abundant number, since it is smaller than the sum of its proper divisors (26601500).

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

20814820 is a wasteful number, since it uses less digits than its factorization.

20814820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 20814820 is about 4562.3261610718. The cubic root of 20814820 is about 275.0790736797.

The spelling of 20814820 in words is "twenty million, eight hundred fourteen thousand, eight hundred twenty".