66305232 has 90 divisors (see below), whose sum is σ = 215881458. Its totient is φ = 18942336.

The previous prime is 66305209. The next prime is 66305237. The reversal of 66305232 is 23250366.

66305232 is a `hidden beast` number, since 6 + 630 + 5 + 23 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35569296 + 30735936 = 5964^2 + 5544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66305196 and 66305205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66305237) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2358 + ... + 11754.

Almost surely, 2^66305232 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 66305232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107940729).

66305232 is an abundant number, since it is smaller than the sum of its proper divisors (149576226).

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

66305232 is a wasteful number, since it uses less digits than its factorization.

66305232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 66305232 is about 8142.8024659818. The cubic root of 66305232 is about 404.7460319039.

Adding to 66305232 its reverse (23250366), we get a palindrome (89555598).

The spelling of 66305232 in words is "sixty-six million, three hundred five thousand, two hundred thirty-two".