66000114 has 48 divisors (see below), whose sum is σ = 150508800. Its totient is φ = 20871648.

The previous prime is 66000083. The next prime is 66000149. The reversal of 66000114 is 41100066.

66000114 is a `hidden beast` number, since 660 + 0 + 0 + 1 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 29727 + ... + 31869.

It is an arithmetic number, because the mean of its divisors is an integer number (3135600).

Almost surely, 2^66000114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66000114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75254400).

66000114 is an abundant number, since it is smaller than the sum of its proper divisors (84508686).

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

66000114 is a wasteful number, since it uses less digits than its factorization.

66000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 66000114 is about 8124.0454208479. The cubic root of 66000114 is about 404.1242347395.

The spelling of 66000114 in words is "sixty-six million, one hundred fourteen", and thus it is an aban number.