66506132 has 72 divisors (see below), whose sum is σ = 149577120. Its totient is φ = 25583040.

The previous prime is 66506117. The next prime is 66506147. The reversal of 66506132 is 23160566.

It is an interprime number because it is at equal distance from previous prime (66506117) and next prime (66506147).

It is a junction number, because it is equal to n+sod(n) for n = 66506095 and 66506104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234863 + ... + 235145.

It is an arithmetic number, because the mean of its divisors is an integer number (2077460).

Almost surely, 2^66506132 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 66506132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74788560).

66506132 is an abundant number, since it is smaller than the sum of its proper divisors (83070988).

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

66506132 is a wasteful number, since it uses less digits than its factorization.

66506132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 66506132 is about 8155.1291835262. The cubic root of 66506132 is about 405.1544033536.

Adding to 66506132 its reverse (23160566), we get a palindrome (89666698).

The spelling of 66506132 in words is "sixty-six million, five hundred six thousand, one hundred thirty-two".