66344832 has 144 divisors (see below), whose sum is σ = 200756400. Its totient is φ = 21835008.

The previous prime is 66344821. The next prime is 66344833. The reversal of 66344832 is 23844366.

It is a happy number.

66344832 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 (144).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66344833) 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 17 ways as a sum of consecutive naturals, for example, 839769 + ... + 839847.

Almost surely, 2^66344832 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 66344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100378200).

66344832 is an abundant number, since it is smaller than the sum of its proper divisors (134411568).

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

66344832 is an frugal number, since it uses more digits than its factorization.

66344832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66344832 is about 8145.2336983048. The cubic root of 66344832 is about 404.8265924299.

It can be divided in two parts, 66344 and 832, that added together give a palindrome (67176).

The spelling of 66344832 in words is "sixty-six million, three hundred forty-four thousand, eight hundred thirty-two".