866287368 has 72 divisors (see below), whose sum is σ = 2476252350. Its totient is φ = 273556224.

The previous prime is 866287363. The next prime is 866287369. The reversal of 866287368 is 863782668.

It is a happy number.

866287368 is a `hidden beast` number, since 8 + 6 + 628 + 7 + 3 + 6 + 8 = 666.

866287368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 669670884 + 196616484 = 25878^2 + 14022^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (866287361) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9328 + ... + 42656.

Almost surely, 2^866287368 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 866287368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238126175).

866287368 is an abundant number, since it is smaller than the sum of its proper divisors (1609964982).

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

866287368 is a wasteful number, since it uses less digits than its factorization.

866287368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33379 (or 33353 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 866287368 is about 29432.7601152186. The cubic root of 866287368 is about 953.2803929502.

The spelling of 866287368 in words is "eight hundred sixty-six million, two hundred eighty-seven thousand, three hundred sixty-eight".