20066560 has 72 divisors (see below), whose sum is σ = 49043736. Its totient is φ = 7864320.

The previous prime is 20066539. The next prime is 20066561. The reversal of 20066560 is 6566002.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 17707264 = 1536^2 + 4208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20066561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77952 + ... + 78208.

It is an arithmetic number, because the mean of its divisors is an integer number (681163).

Almost surely, 2^20066560 is an apocalyptic number.

20066560 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 20066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24521868).

20066560 is an abundant number, since it is smaller than the sum of its proper divisors (28977176).

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

20066560 is an equidigital number, since it uses as much as digits as its factorization.

20066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 20066560 is about 4479.5714080702. The cubic root of 20066560 is about 271.7425476282.

The spelling of 20066560 in words is "twenty million, sixty-six thousand, five hundred sixty".