66315132 has 96 divisors (see below), whose sum is σ = 186984000. Its totient is φ = 20203776.

The previous prime is 66315131. The next prime is 66315133. The reversal of 66315132 is 23151366.

It is an interprime number because it is at equal distance from previous prime (66315131) and next prime (66315133).

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 = 66315096 and 66315105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66315131) 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, 209038 + ... + 209354.

It is an arithmetic number, because the mean of its divisors is an integer number (1947750).

Almost surely, 2^66315132 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 66315132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93492000).

66315132 is an abundant number, since it is smaller than the sum of its proper divisors (120668868).

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

66315132 is a wasteful number, since it uses less digits than its factorization.

66315132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 66315132 is about 8143.4103421110. The cubic root of 66315132 is about 404.7661750419.

Adding to 66315132 its reverse (23151366), we get a palindrome (89466498).

The spelling of 66315132 in words is "sixty-six million, three hundred fifteen thousand, one hundred thirty-two".