66489984 has 240 divisors, whose sum is σ = 221600610. Its totient is φ = 19768320.

The previous prime is 66489979. The next prime is 66489989. The reversal of 66489984 is 48998466.

66489984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66489979) and next prime (66489989).

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 15681600 = 7128^2 + 3960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66489984.

It is not an unprimeable number, because it can be changed into a prime (66489989) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 1254502 + ... + 1254554.

Almost surely, 2^66489984 is an apocalyptic number.

66489984 is a gapful number since it is divisible by the number (64) 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 66489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110800305).

66489984 is an abundant number, since it is smaller than the sum of its proper divisors (155110626).

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

66489984 is a wasteful number, since it uses less digits than its factorization.

66489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 66489984 is about 8154.1390716617. The cubic root of 66489984 is about 405.1216095711.

The spelling of 66489984 in words is "sixty-six million, four hundred eighty-nine thousand, nine hundred eighty-four".