20788560 has 120 divisors (see below), whose sum is σ = 75219144. Its totient is φ = 5114880.

The previous prime is 20788553. The next prime is 20788567. The reversal of 20788560 is 6588702.

20788560 is a `hidden beast` number, since 20 + 78 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (20788553) and next prime (20788567).

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 19820304 = 984^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20788567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8250 + ... + 10470.

Almost surely, 2^20788560 is an apocalyptic number.

20788560 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 20788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37609572).

20788560 is an abundant number, since it is smaller than the sum of its proper divisors (54430584).

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

20788560 is a wasteful number, since it uses less digits than its factorization.

20788560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20788560 is about 4559.4473349300. The cubic root of 20788560 is about 274.9633449767.

The spelling of 20788560 in words is "twenty million, seven hundred eighty-eight thousand, five hundred sixty".