66042016 has 48 divisors (see below), whose sum is σ = 137991168. Its totient is φ = 31046400.

The previous prime is 66042007. The next prime is 66042029. The reversal of 66042016 is 61024066.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44161 + ... + 45631.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 2^66042016 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 66042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68995584).

66042016 is an abundant number, since it is smaller than the sum of its proper divisors (71949152).

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

66042016 is a wasteful number, since it uses less digits than its factorization.

66042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 66042016 is about 8126.6238992585. The cubic root of 66042016 is about 404.2097398007.

The spelling of 66042016 in words is "sixty-six million, forty-two thousand, sixteen".