66106040 has 192 divisors, whose sum is σ = 202383360. Its totient is φ = 18869760.

The previous prime is 66106039. The next prime is 66106067. The reversal of 66106040 is 4060166.

It is a junction number, because it is equal to n+sod(n) for n = 66105997 and 66106015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520457 + ... + 520583.

It is an arithmetic number, because the mean of its divisors is an integer number (1054080).

Almost surely, 2^66106040 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 66106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101191680).

66106040 is an abundant number, since it is smaller than the sum of its proper divisors (136277320).

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

66106040 is a wasteful number, since it uses less digits than its factorization.

66106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 66106040 is about 8130.5620961899. The cubic root of 66106040 is about 404.3403171093.

The spelling of 66106040 in words is "sixty-six million, one hundred six thousand, forty".