66005016 has 192 divisors, whose sum is σ = 220631040. Its totient is φ = 16051200.

The previous prime is 66004987. The next prime is 66005021. The reversal of 66005016 is 61050066.

66005016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 345481 + ... + 345671.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^66005016 is an apocalyptic number.

66005016 is a gapful number since it is divisible by the number (66) 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 66005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

66005016 is an abundant number, since it is smaller than the sum of its proper divisors (154626024).

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

66005016 is a wasteful number, since it uses less digits than its factorization.

66005016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66005016 is about 8124.3471122300. The cubic root of 66005016 is about 404.1342396109.

It can be divided in two parts, 660050 and 16, that added together give a palindrome (660066).

The spelling of 66005016 in words is "sixty-six million, five thousand, sixteen".