866408960 has 80 divisors (see below), whose sum is σ = 2097428256. Its totient is φ = 343216128.

The previous prime is 866408957. The next prime is 866408971. The reversal of 866408960 is 69804668.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272339 + ... + 275501.

Almost surely, 2^866408960 is an apocalyptic number.

866408960 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 866408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048714128).

866408960 is an abundant number, since it is smaller than the sum of its proper divisors (1231019296).

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

866408960 is a wasteful number, since it uses less digits than its factorization.

866408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 866408960 is about 29434.8256322337. The cubic root of 866408960 is about 953.3249916408.

It can be divided in two parts, 86 and 6408960, that added together give a palindrome (6409046).

The spelling of 866408960 in words is "eight hundred sixty-six million, four hundred eight thousand, nine hundred sixty".