65817216 has 192 divisors, whose sum is σ = 207916800. Its totient is φ = 19906560.

The previous prime is 65817209. The next prime is 65817221. The reversal of 65817216 is 61271856.

65817216 is a `hidden beast` number, since 6 + 581 + 72 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 678480 + ... + 678576.

It is an arithmetic number, because the mean of its divisors is an integer number (1082900).

Almost surely, 2^65817216 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 65817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103958400).

65817216 is an abundant number, since it is smaller than the sum of its proper divisors (142099584).

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

65817216 is a wasteful number, since it uses less digits than its factorization.

65817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 65817216 is about 8112.7810274899. The cubic root of 65817216 is about 403.7505894485.

It can be divided in two parts, 65 and 817216, that added together give a triangular number (817281 = T₁₂₇₈).

The spelling of 65817216 in words is "sixty-five million, eight hundred seventeen thousand, two hundred sixteen".