66105620 has 96 divisors (see below), whose sum is σ = 165580800. Its totient is φ = 21700224.

The previous prime is 66105607. The next prime is 66105647. The reversal of 66105620 is 2650166.

It is a self number, because there is not a number n which added to its sum of digits gives 66105620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475511 + ... + 475649.

It is an arithmetic number, because the mean of its divisors is an integer number (1724800).

Almost surely, 2^66105620 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 66105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82790400).

66105620 is an abundant number, since it is smaller than the sum of its proper divisors (99475180).

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

66105620 is a wasteful number, since it uses less digits than its factorization.

66105620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 66105620 is about 8130.5362676763. The cubic root of 66105620 is about 404.3394607917.

Adding to 66105620 its reverse (2650166), we get a palindrome (68755786).

The spelling of 66105620 in words is "sixty-six million, one hundred five thousand, six hundred twenty".