66984480 has 144 divisors (see below), whose sum is σ = 230741784. Its totient is φ = 17694720.

The previous prime is 66984469. The next prime is 66984493. The reversal of 66984480 is 8448966.

It is a happy number.

66984480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53056656 + 13927824 = 7284^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260512 + ... + 260768.

Almost surely, 2^66984480 is an apocalyptic number.

66984480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115370892).

66984480 is an abundant number, since it is smaller than the sum of its proper divisors (163757304).

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

66984480 is a wasteful number, since it uses less digits than its factorization.

66984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 66984480 is about 8184.4046820768. The cubic root of 66984480 is about 406.1234468136.

Adding to 66984480 its sum of digits (45), we get a triangular number (66984525 = T₁₁₅₇₄).

The spelling of 66984480 in words is "sixty-six million, nine hundred eighty-four thousand, four hundred eighty".