66518208 has 84 divisors (see below), whose sum is σ = 198991728. Its totient is φ = 21204480.

The previous prime is 66518201. The next prime is 66518213. The reversal of 66518208 is 80281566.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66518201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10738 + ... + 15758.

Almost surely, 2^66518208 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 66518208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99495864).

66518208 is an abundant number, since it is smaller than the sum of its proper divisors (132473520).

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

66518208 is a wasteful number, since it uses less digits than its factorization.

66518208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 66518208 is about 8155.8695428507. The cubic root of 66518208 is about 405.1789241426.

The spelling of 66518208 in words is "sixty-six million, five hundred eighteen thousand, two hundred eight".