65986560 has 168 divisors, whose sum is σ = 230017320. Its totient is φ = 17498112.

The previous prime is 65986559. The next prime is 65986597. The reversal of 65986560 is 6568956.

65986560 is a `hidden beast` number, since 6 + 5 + 9 + 86 + 560 = 666.

It is a super-2 number, since 2×65986560² = 8708452201267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368551 + ... + 368729.

Almost surely, 2^65986560 is an apocalyptic number.

65986560 is a gapful number since it is divisible by the number (60) 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 65986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115008660).

65986560 is an abundant number, since it is smaller than the sum of its proper divisors (164030760).

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

65986560 is a wasteful number, since it uses less digits than its factorization.

65986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 65986560 is about 8123.2111877016. The cubic root of 65986560 is about 404.0965687526.

The spelling of 65986560 in words is "sixty-five million, nine hundred eighty-six thousand, five hundred sixty".