65984616 has 192 divisors, whose sum is σ = 204871680. Its totient is φ = 19077120.

The previous prime is 65984609. The next prime is 65984617. The reversal of 65984616 is 61648956.

65984616 is a `hidden beast` number, since 6 + 598 + 46 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (311040) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (65984617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403905 + ... + 1403951.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 2^65984616 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 65984616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

65984616 is an abundant number, since it is smaller than the sum of its proper divisors (138887064).

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

65984616 is a wasteful number, since it uses less digits than its factorization.

65984616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 65984616 is about 8123.0915297071. The cubic root of 65984616 is about 404.0926004119.

The spelling of 65984616 in words is "sixty-five million, nine hundred eighty-four thousand, six hundred sixteen".