66766000 has 160 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 21600000.

The previous prime is 66765997. The next prime is 66766001. The reversal of 66766000 is 66766.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66766001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265875 + ... + 266125.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^66766000 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 66766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

66766000 is an abundant number, since it is smaller than the sum of its proper divisors (128221520).

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

66766000 is a wasteful number, since it uses less digits than its factorization.

66766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 66766000 is about 8171.0464446116. The cubic root of 66766000 is about 405.6814215641.

66766000 divided by its reverse (66766) gives a cube (1000 = 10³).

The spelling of 66766000 in words is "sixty-six million, seven hundred sixty-six thousand".