66412632 has 128 divisors (see below), whose sum is σ = 200712960. Its totient is φ = 18040320.

The previous prime is 66412631. The next prime is 66412637. The reversal of 66412632 is 23621466.

66412632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66412632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66412631) 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 31 ways as a sum of consecutive naturals, for example, 126723 + ... + 127245.

It is an arithmetic number, because the mean of its divisors is an integer number (1568070).

Almost surely, 2^66412632 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 66412632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100356480).

66412632 is an abundant number, since it is smaller than the sum of its proper divisors (134300328).

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

66412632 is a wasteful number, since it uses less digits than its factorization.

66412632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 66412632 is about 8149.3945787402. The cubic root of 66412632 is about 404.9644474202.

The spelling of 66412632 in words is "sixty-six million, four hundred twelve thousand, six hundred thirty-two".