66391104 has 112 divisors (see below), whose sum is σ = 192479168. Its totient is φ = 20072448.

The previous prime is 66391079. The next prime is 66391109. The reversal of 66391104 is 40119366.

It is not an unprimeable number, because it can be changed into a prime (66391109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167034 + ... + 167430.

It is an arithmetic number, because the mean of its divisors is an integer number (1718564).

Almost surely, 2^66391104 is an apocalyptic number.

66391104 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 66391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96239584).

66391104 is an abundant number, since it is smaller than the sum of its proper divisors (126088064).

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

66391104 is a wasteful number, since it uses less digits than its factorization.

66391104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 66391104 is about 8148.0736373698. The cubic root of 66391104 is about 404.9206855809.

It can be divided in two parts, 66 and 391104, that added together give a triangular number (391170 = T₈₈₄).

The spelling of 66391104 in words is "sixty-six million, three hundred ninety-one thousand, one hundred four".