66415104 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 18063360.

The previous prime is 66415079. The next prime is 66415147. The reversal of 66415104 is 40151466.

66415104 is a `hidden beast` number, since 6 + 641 + 5 + 10 + 4 = 666.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935389 + ... + 935459.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^66415104 is an apocalyptic number.

66415104 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 66415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

66415104 is an abundant number, since it is smaller than the sum of its proper divisors (163391616).

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

66415104 is a wasteful number, since it uses less digits than its factorization.

66415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66415104 is about 8149.5462450372. The cubic root of 66415104 is about 404.9694718644.

The spelling of 66415104 in words is "sixty-six million, four hundred fifteen thousand, one hundred four".