65345616 has 180 divisors, whose sum is σ = 221256672. Its totient is φ = 18670176.

The previous prime is 65345611. The next prime is 65345629. The reversal of 65345616 is 61654356.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

65345616 is a `hidden beast` number, since 6 + 5 + 34 + 5 + 616 = 666.

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

Its product of digits (64800) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65345611) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9335085 + ... + 9335091.

Almost surely, 2^65345616 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 65345616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110628336).

65345616 is an abundant number, since it is smaller than the sum of its proper divisors (155911056).

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

65345616 is an frugal number, since it uses more digits than its factorization.

65345616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 65345616 is about 8083.6635259021. The cubic root of 65345616 is about 402.7839458295.

The spelling of 65345616 in words is "sixty-five million, three hundred forty-five thousand, six hundred sixteen".