866563200 has 144 divisors (see below), whose sum is σ = 3092198850. Its totient is φ = 231075840.

The previous prime is 866563183. The next prime is 866563231. The reversal of 866563200 is 2365668.

It can be written as a sum of positive squares in 3 ways, for example, as 638673984 + 227889216 = 25272^2 + 15096^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 13756 + ... + 43844.

Almost surely, 2^866563200 is an apocalyptic number.

866563200 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 866563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546099425).

866563200 is an abundant number, since it is smaller than the sum of its proper divisors (2225635650).

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

866563200 is a wasteful number, since it uses less digits than its factorization.

866563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30119 (or 30099 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 866563200 is about 29437.4455413509. The cubic root of 866563200 is about 953.3815592776.

The spelling of 866563200 in words is "eight hundred sixty-six million, five hundred sixty-three thousand, two hundred".