66983616 has 168 divisors, whose sum is σ = 225856800. Its totient is φ = 18579456.

The previous prime is 66983611. The next prime is 66983629. The reversal of 66983616 is 61638966.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66983611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148960 + ... + 149408.

Almost surely, 2^66983616 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 66983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112928400).

66983616 is an abundant number, since it is smaller than the sum of its proper divisors (158873184).

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

66983616 is a wasteful number, since it uses less digits than its factorization.

66983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 66983616 is about 8184.3518985928. The cubic root of 66983616 is about 406.1217006769.

The spelling of 66983616 in words is "sixty-six million, nine hundred eighty-three thousand, six hundred sixteen".