866844288 has 128 divisors (see below), whose sum is σ = 2627928000. Its totient is φ = 281097216.

The previous prime is 866844271. The next prime is 866844299. The reversal of 866844288 is 882448668.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124483 + ... + 131261.

Almost surely, 2^866844288 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 866844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313964000).

866844288 is an abundant number, since it is smaller than the sum of its proper divisors (1761083712).

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

866844288 is a wasteful number, since it uses less digits than its factorization.

866844288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6821 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 866844288 is about 29442.2194815540. The cubic root of 866844288 is about 953.4846312542.

The spelling of 866844288 in words is "eight hundred sixty-six million, eight hundred forty-four thousand, two hundred eighty-eight".