866882016 has 576 divisors, whose sum is σ = 3451908096. Its totient is φ = 199065600.

The previous prime is 866881997. The next prime is 866882017. The reversal of 866882016 is 610288668.

866882016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866882017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8936880 + ... + 8936976.

It is an arithmetic number, because the mean of its divisors is an integer number (5992896).

Almost surely, 2^866882016 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 866882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725954048).

866882016 is an abundant number, since it is smaller than the sum of its proper divisors (2585026080).

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

866882016 is a wasteful number, since it uses less digits than its factorization.

866882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 866882016 is about 29442.8601871489. The cubic root of 866882016 is about 953.4984640139.

The spelling of 866882016 in words is "eight hundred sixty-six million, eight hundred eighty-two thousand, sixteen".