66206032 has 40 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 30995712.

The previous prime is 66205967. The next prime is 66206069. The reversal of 66206032 is 23060266.

66206032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66205988 and 66206006.

It is a congruent number.

It is an unprimeable number.

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, 25833 + ... + 28279.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^66206032 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 66206032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

66206032 is an abundant number, since it is smaller than the sum of its proper divisors (70392368).

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

66206032 is a wasteful number, since it uses less digits than its factorization.

66206032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 66206032 is about 8136.7089170008. The cubic root of 66206032 is about 404.5440828009.

Adding to 66206032 its reverse (23060266), we get a palindrome (89266298).

The spelling of 66206032 in words is "sixty-six million, two hundred six thousand, thirty-two".