66061632 has 224 divisors, whose sum is σ = 227584000. Its totient is φ = 16422912.

The previous prime is 66061621. The next prime is 66061637. The reversal of 66061632 is 23616066.

It is a tau number, because it is divible by the number of its divisors (224).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 66061632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66061637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331869 + ... + 332067.

It is an arithmetic number, because the mean of its divisors is an integer number (1016000).

Almost surely, 2^66061632 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 66061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113792000).

66061632 is an abundant number, since it is smaller than the sum of its proper divisors (161522368).

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

66061632 is a wasteful number, since it uses less digits than its factorization.

66061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 66061632 is about 8127.8307068984. The cubic root of 66061632 is about 404.2497557069.

Adding to 66061632 its reverse (23616066), we get a palindrome (89677698).

The spelling of 66061632 in words is "sixty-six million, sixty-one thousand, six hundred thirty-two".