66306048 has 120 divisors (see below), whose sum is σ = 188737920. Its totient is φ = 20643840.

The previous prime is 66306047. The next prime is 66306083. The reversal of 66306048 is 84060366.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66306047) 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, 933853 + ... + 933923.

It is an arithmetic number, because the mean of its divisors is an integer number (1572816).

Almost surely, 2^66306048 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 66306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94368960).

66306048 is an abundant number, since it is smaller than the sum of its proper divisors (122431872).

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

66306048 is an equidigital number, since it uses as much as digits as its factorization.

66306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 66306048 is about 8142.8525714273. The cubic root of 66306048 is about 404.7476922626.

The spelling of 66306048 in words is "sixty-six million, three hundred six thousand, forty-eight".