20986560 has 224 divisors, whose sum is σ = 84856320. Its totient is φ = 4783104.

The previous prime is 20986531. The next prime is 20986561. The reversal of 20986560 is 6568902.

20986560 is a `hidden beast` number, since 2 + 0 + 98 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (20986561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60307 + ... + 60653.

Almost surely, 2^20986560 is an apocalyptic number.

20986560 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 20986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42428160).

20986560 is an abundant number, since it is smaller than the sum of its proper divisors (63869760).

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

20986560 is a wasteful number, since it uses less digits than its factorization.

20986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 20986560 is about 4581.1090360305. The cubic root of 20986560 is about 275.8335480284.

The spelling of 20986560 in words is "twenty million, nine hundred eighty-six thousand, five hundred sixty".