866936000 has 224 divisors, whose sum is σ = 2493459072. Its totient is φ = 292454400.

The previous prime is 866935997. The next prime is 866936017. The reversal of 866936000 is 639668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6327932 + ... + 6328068.

Almost surely, 2^866936000 is an apocalyptic number.

866936000 is a gapful number since it is divisible by the number (80) 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 866936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246729536).

866936000 is an abundant number, since it is smaller than the sum of its proper divisors (1626523072).

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

866936000 is a wasteful number, since it uses less digits than its factorization.

866936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 866936000 is about 29443.7769316370. The cubic root of 866936000 is about 953.5182562469.

The spelling of 866936000 in words is "eight hundred sixty-six million, nine hundred thirty-six thousand".