20814288 has 80 divisors (see below), whose sum is σ = 59520000. Its totient is φ = 6215040.

The previous prime is 20814281. The next prime is 20814317. The reversal of 20814288 is 88241802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41463 + ... + 41961.

It is an arithmetic number, because the mean of its divisors is an integer number (744000).

Almost surely, 2^20814288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20814288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760000).

20814288 is an abundant number, since it is smaller than the sum of its proper divisors (38705712).

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

20814288 is a wasteful number, since it uses less digits than its factorization.

20814288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 20814288 is about 4562.2678571079. The cubic root of 20814288 is about 275.0767301040.

The spelling of 20814288 in words is "twenty million, eight hundred fourteen thousand, two hundred eighty-eight".