66036096 has 192 divisors, whose sum is σ = 229132800. Its totient is φ = 17832960.

The previous prime is 66036079. The next prime is 66036097. The reversal of 66036096 is 69063066.

66036096 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 (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66036096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66036097) 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 23 ways as a sum of consecutive naturals, for example, 153001 + ... + 153431.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^66036096 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 66036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

66036096 is an abundant number, since it is smaller than the sum of its proper divisors (163096704).

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

66036096 is a wasteful number, since it uses less digits than its factorization.

66036096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 66036096 is about 8126.2596562010. The cubic root of 66036096 is about 404.1976616657.

The spelling of 66036096 in words is "sixty-six million, thirty-six thousand, ninety-six".