66110000 has 100 divisors (see below), whose sum is σ = 174900264. Its totient is φ = 24000000.

The previous prime is 66109997. The next prime is 66110021. The reversal of 66110000 is 1166.

It is a tau number, because it is divible by the number of its divisors (100).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 109700 + ... + 110300.

Almost surely, 2^66110000 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 66110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87450132).

66110000 is an abundant number, since it is smaller than the sum of its proper divisors (108790264).

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

66110000 is a wasteful number, since it uses less digits than its factorization.

66110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 66110000 is about 8130.8056181414. The cubic root of 66110000 is about 404.3483907824.

Adding to 66110000 its reverse (1166), we get a palindrome (66111166).

The spelling of 66110000 in words is "sixty-six million, one hundred ten thousand".