65216000 has 80 divisors (see below), whose sum is σ = 162779760. Its totient is φ = 26060800.

The previous prime is 65215967. The next prime is 65216009. The reversal of 65216000 is 61256.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65216009) 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 7 ways as a sum of consecutive naturals, for example, 63491 + ... + 64509.

It is an arithmetic number, because the mean of its divisors is an integer number (2034747).

Almost surely, 2^65216000 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 65216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389880).

65216000 is an abundant number, since it is smaller than the sum of its proper divisors (97563760).

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

65216000 is an equidigital number, since it uses as much as digits as its factorization.

65216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 65216000 is about 8075.6423893087. The cubic root of 65216000 is about 402.5174561312.

Adding to 65216000 its reverse (61256), we get a palindrome (65277256).

It can be divided in two parts, 6521 and 6000, that added together give a palindrome (12521).

The spelling of 65216000 in words is "sixty-five million, two hundred sixteen thousand".