66315942 has 128 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 16761600.

The previous prime is 66315911. The next prime is 66315943. The reversal of 66315942 is 24951366.

It is a happy number.

66315942 is a `hidden beast` number, since 6 + 63 + 1 + 594 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66315897 and 66315906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66315943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170284 + ... + 170672.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^66315942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66315942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

66315942 is an abundant number, since it is smaller than the sum of its proper divisors (122381658).

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

66315942 is a wasteful number, since it uses less digits than its factorization.

66315942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 66315942 is about 8143.4600754225. The cubic root of 66315942 is about 404.7678230281.

The spelling of 66315942 in words is "sixty-six million, three hundred fifteen thousand, nine hundred forty-two".