65820064 has 36 divisors (see below), whose sum is σ = 132701814. Its totient is φ = 32125184.

The previous prime is 65820059. The next prime is 65820067. The reversal of 65820064 is 46002856.

65820064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 57456400 + 8363664 = 7580^2 + 2892^2 .

It is not an unprimeable number, because it can be changed into a prime (65820067) 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 5 ways as a sum of consecutive naturals, for example, 334014 + ... + 334210.

Almost surely, 2^65820064 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 65820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66350907).

65820064 is an abundant number, since it is smaller than the sum of its proper divisors (66881750).

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

65820064 is an equidigital number, since it uses as much as digits as its factorization.

65820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 65820064 is about 8112.9565510978. The cubic root of 65820064 is about 403.7564129760.

The spelling of 65820064 in words is "sixty-five million, eight hundred twenty thousand, sixty-four".