66938508 has 192 divisors, whose sum is σ = 219520000. Its totient is φ = 17527104.

The previous prime is 66938507. The next prime is 66938551. The reversal of 66938508 is 80583966.

It is not an unprimeable number, because it can be changed into a prime (66938507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481503 + ... + 481641.

Almost surely, 2^66938508 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 66938508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109760000).

66938508 is an abundant number, since it is smaller than the sum of its proper divisors (152581492).

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

66938508 is a wasteful number, since it uses less digits than its factorization.

66938508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 66938508 is about 8181.5956878839. The cubic root of 66938508 is about 406.0305169293.

The spelling of 66938508 in words is "sixty-six million, nine hundred thirty-eight thousand, five hundred eight".