65309616 has 60 divisors (see below), whose sum is σ = 185122080. Its totient is φ = 21490560.

The previous prime is 65309603. The next prime is 65309617. The reversal of 65309616 is 61690356.

65309616 is a `hidden beast` number, since 6 + 5 + 30 + 9 + 616 = 666.

65309616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (65309617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8506 + ... + 14246.

It is an arithmetic number, because the mean of its divisors is an integer number (3085368).

Almost surely, 2^65309616 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 65309616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92561040).

65309616 is an abundant number, since it is smaller than the sum of its proper divisors (119812464).

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

65309616 is a wasteful number, since it uses less digits than its factorization.

65309616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 65309616 is about 8081.4365059685. The cubic root of 65309616 is about 402.7099654232.

The spelling of 65309616 in words is "sixty-five million, three hundred nine thousand, six hundred sixteen".