66406080 has 224 divisors, whose sum is σ = 241182144. Its totient is φ = 15335424.

The previous prime is 66406079. The next prime is 66406163. The reversal of 66406080 is 8060466.

It is a happy number.

66406080 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 212004 + ... + 212316.

It is an arithmetic number, because the mean of its divisors is an integer number (1076706).

Almost surely, 2^66406080 is an apocalyptic number.

66406080 is a gapful number since it is divisible by the number (60) 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 66406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120591072).

66406080 is an abundant number, since it is smaller than the sum of its proper divisors (174776064).

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

66406080 is a wasteful number, since it uses less digits than its factorization.

66406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 66406080 is about 8148.9925757728. The cubic root of 66406080 is about 404.9511296008.

It can be divided in two parts, 6640 and 6080, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 66406080 in words is "sixty-six million, four hundred six thousand, eighty".