866849760 has 288 divisors, whose sum is σ = 3528645120. Its totient is φ = 189471744.

The previous prime is 866849747. The next prime is 866849761. The reversal of 866849760 is 67948668.

866849760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 866849697 and 866849706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866849761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229971 + ... + 233709.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2^866849760 is an apocalyptic number.

866849760 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 866849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764322560).

866849760 is an abundant number, since it is smaller than the sum of its proper divisors (2661795360).

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

866849760 is a wasteful number, since it uses less digits than its factorization.

866849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 866849760 is about 29442.3124091842. The cubic root of 866849760 is about 953.4866375572.

The spelling of 866849760 in words is "eight hundred sixty-six million, eight hundred forty-nine thousand, seven hundred sixty".