66301632 has 224 divisors, whose sum is σ = 215432640. Its totient is φ = 19906560.

The previous prime is 66301607. The next prime is 66301643. The reversal of 66301632 is 23610366.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66301596 and 66301605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086882 + ... + 1086942.

Almost surely, 2^66301632 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 66301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107716320).

66301632 is an abundant number, since it is smaller than the sum of its proper divisors (149131008).

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

66301632 is a wasteful number, since it uses less digits than its factorization.

66301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 66301632 is about 8142.5814088654. The cubic root of 66301632 is about 404.7387066294.

Adding to 66301632 its reverse (23610366), we get a palindrome (89911998).

The spelling of 66301632 in words is "sixty-six million, three hundred one thousand, six hundred thirty-two".