66047904 has 216 divisors, whose sum is σ = 215822880. Its totient is φ = 19109376.

The previous prime is 66047903. The next prime is 66047909. The reversal of 66047904 is 40974066.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66047903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1119427 + ... + 1119485.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^66047904 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 66047904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107911440).

66047904 is an abundant number, since it is smaller than the sum of its proper divisors (149774976).

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

66047904 is a wasteful number, since it uses less digits than its factorization.

66047904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66047904 is about 8126.9861572418. The cubic root of 66047904 is about 404.2217519326.

The spelling of 66047904 in words is "sixty-six million, forty-seven thousand, nine hundred four".