666717000 has 256 divisors, whose sum is σ = 2199674880. Its totient is φ = 167904000.

The previous prime is 666716983. The next prime is 666717001. The reversal of 666717000 is 717666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666717001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6230947 + ... + 6231053.

It is an arithmetic number, because the mean of its divisors is an integer number (8592480).

Almost surely, 2^666717000 is an apocalyptic number.

666717000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099837440).

666717000 is an abundant number, since it is smaller than the sum of its proper divisors (1532957880).

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

666717000 is a wasteful number, since it uses less digits than its factorization.

666717000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 666717000 is about 25820.8636571281. The cubic root of 666717000 is about 873.6024492914.

The spelling of 666717000 in words is "six hundred sixty-six million, seven hundred seventeen thousand".