66096864 has 96 divisors (see below), whose sum is σ = 194775840. Its totient is φ = 21805056.

The previous prime is 66096857. The next prime is 66096869. The reversal of 66096864 is 46869066.

66096864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66096869) 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 15 ways as a sum of consecutive naturals, for example, 97294 + ... + 97970.

It is an arithmetic number, because the mean of its divisors is an integer number (2028915).

Almost surely, 2^66096864 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 66096864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97387920).

66096864 is an abundant number, since it is smaller than the sum of its proper divisors (128678976).

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

66096864 is a wasteful number, since it uses less digits than its factorization.

66096864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66096864 is about 8129.9977859776. The cubic root of 66096864 is about 404.3216077829.

The spelling of 66096864 in words is "sixty-six million, ninety-six thousand, eight hundred sixty-four".