20566080 has 168 divisors, whose sum is σ = 73027032. Its totient is φ = 5308416.

The previous prime is 20566079. The next prime is 20566093. The reversal of 20566080 is 8066502.

20566080 is a `hidden beast` number, since 2 + 0 + 56 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 17239104 = 1824^2 + 4152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106464 + ... + 106656.

Almost surely, 2^20566080 is an apocalyptic number.

20566080 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 20566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36513516).

20566080 is an abundant number, since it is smaller than the sum of its proper divisors (52460952).

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

20566080 is a wasteful number, since it uses less digits than its factorization.

20566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20566080 is about 4534.9840132023. The cubic root of 20566080 is about 273.9789352801.

The spelling of 20566080 in words is "twenty million, five hundred sixty-six thousand, eighty".