66983328 has 48 divisors (see below), whose sum is σ = 195370560. Its totient is φ = 22327488.

The previous prime is 66983327. The next prime is 66983333. The reversal of 66983328 is 82338966.

It is a tau number, because it is divible by the number of its divisors (48).

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 (66983327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37900 + ... + 39627.

It is an arithmetic number, because the mean of its divisors is an integer number (4070220).

Almost surely, 2^66983328 is an apocalyptic number.

It is an amenable number.

66983328 is an abundant number, since it is smaller than the sum of its proper divisors (128387232).

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

66983328 is a wasteful number, since it uses less digits than its factorization.

66983328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77546 (or 77532 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 66983328 is about 8184.3343040225. The cubic root of 66983328 is about 406.1211186280.

The spelling of 66983328 in words is "sixty-six million, nine hundred eighty-three thousand, three hundred twenty-eight".