20788320 has 192 divisors, whose sum is σ = 78382080. Its totient is φ = 4528128.

The previous prime is 20788319. The next prime is 20788333. The reversal of 20788320 is 2388702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77146 + ... + 77414.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^20788320 is an apocalyptic number.

20788320 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 20788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

20788320 is an abundant number, since it is smaller than the sum of its proper divisors (57593760).

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

20788320 is a wasteful number, since it uses less digits than its factorization.

20788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 20788320 is about 4559.4210158747. The cubic root of 20788320 is about 274.9622868393.

The spelling of 20788320 in words is "twenty million, seven hundred eighty-eight thousand, three hundred twenty".