65609856 has 144 divisors (see below), whose sum is σ = 205046010. Its totient is φ = 20127744.

The previous prime is 65609849. The next prime is 65609899. The reversal of 65609856 is 65890656.

65609856 is a `hidden beast` number, since 6 + 560 + 9 + 85 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25160256 + 40449600 = 5016^2 + 6360^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194520 + ... + 194856.

Almost surely, 2^65609856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102523005).

65609856 is an abundant number, since it is smaller than the sum of its proper divisors (139436154).

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

65609856 is a wasteful number, since it uses less digits than its factorization.

65609856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 355 counting only the distinct ones).

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

The square root of 65609856 is about 8099.9911111062. The cubic root of 65609856 is about 403.3261321180.

The spelling of 65609856 in words is "sixty-five million, six hundred nine thousand, eight hundred fifty-six".