66032000 has 64 divisors (see below), whose sum is σ = 164211840. Its totient is φ = 26406400.

The previous prime is 66031997. The next prime is 66032003. The reversal of 66032000 is 23066.

66032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66031997) and next prime (66032003).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 66032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66032003) 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 7 ways as a sum of consecutive naturals, for example, 13937 + ... + 18063.

It is an arithmetic number, because the mean of its divisors is an integer number (2565810).

Almost surely, 2^66032000 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 66032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82105920).

66032000 is an abundant number, since it is smaller than the sum of its proper divisors (98179840).

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

66032000 is an equidigital number, since it uses as much as digits as its factorization.

66032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 66032000 is about 8126.0076298266. The cubic root of 66032000 is about 404.1893044795.

Adding to 66032000 its reverse (23066), we get a palindrome (66055066).

The spelling of 66032000 in words is "sixty-six million, thirty-two thousand", and thus it is an eban number.