866304000 has 360 divisors, whose sum is σ = 3189670848. Its totient is φ = 226099200.

The previous prime is 866303989. The next prime is 866304001. The reversal of 866304000 is 403668.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (866304001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431977 + ... + 18432023.

Almost surely, 2^866304000 is an apocalyptic number.

866304000 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 866304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594835424).

866304000 is an abundant number, since it is smaller than the sum of its proper divisors (2323366848).

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

866304000 is an equidigital number, since it uses as much as digits as its factorization.

866304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 866304000 is about 29433.0426561713. The cubic root of 866304000 is about 953.2864936425.

Adding to 866304000 its reverse (403668), we get a palindrome (866707668).

The spelling of 866304000 in words is "eight hundred sixty-six million, three hundred four thousand".