20086560 has 288 divisors, whose sum is σ = 78427440. Its totient is φ = 4644864.

The previous prime is 20086519. The next prime is 20086631. The reversal of 20086560 is 6568002.

20086560 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 656 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9511056 + 10575504 = 3084^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542862 + ... + 542898.

Almost surely, 2^20086560 is an apocalyptic number.

20086560 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 20086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39213720).

20086560 is an abundant number, since it is smaller than the sum of its proper divisors (58340880).

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

20086560 is a wasteful number, since it uses less digits than its factorization.

20086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

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

The square root of 20086560 is about 4481.8032085311. The cubic root of 20086560 is about 271.8327980472.

The spelling of 20086560 in words is "twenty million, eighty-six thousand, five hundred sixty".